69 : 1 37/86 Ratio Simplifier Calculator

Simplify Ratio 69 : 1 37/86 making use of the Ratio Simplifier and get accurate results without any delay along with step by step process.
 

Simplify Ratio 69 : 1 37/86

Convert 1 37/86 as an Improper Fraction

Given Mixed Number is 1 37/86

A Mixed Number is an addition of it's whole number and fractional parts.

The Whole Number is 1 and the fractional part is 37/86.

On adding them, they can be written as:

1/1 + 37/86

The L.C.M of the denominators 1 and 86 is 86.

The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 86.

1 x 86 + 37/86

86 + 37/86

After multiplying, the numerators 86 and 37 should be added.

123/86

The fraction value we get is 123/86.

After converting the Mixed Number 1 37/86 to the Improper Fraction,the result is 123/86.

Find LCM of 1 and 86 is 86

Finding LCM of 1,86 by Common Division

Arrange the Inputs 1,86 in a horizontal line separated by commas and divide them with a prime number. Note the quotients in the next row and divide with quotients with prime numbers again. Continue the process until you have all co primes in the last.

Given numbers has no common factors except 1. So, there LCM is their product i.e 86

Finding LCM of 1,86 using GCF Formula

Step1:

Let's calculate the LCM of first two numbers

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(1, 86) = 1

LCM(1, 86) = ( 1 x 86 ) / 1

LCM(1, 86) = 86 / 1

LCM(1, 86) = 86

LCM of 1,86 is 86

We now have:

5934/86 : 123/86

= 5934 : 123

Find GCF of 5934 and 123 is 3

Finding GCF of 5934, 123 using Factoring

Given Input numbers are 5934, 123

To find the GCF of numbers using factoring list out all the factors of each number

Factors of 5934

List of positive integer factors of 5934 that divides 5934 without a remainder.

1, 2, 3, 6, 23, 43, 46, 69, 86, 129, 138, 258, 989, 1978, 2967, 5934

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Factor

We found the factors of 5934, 123 . The biggest common factor number is the GCF number.
So the Greatest Common Factor 5934, 123 is 3.

Therefore, GCF of numbers 5934, 123 is 3

Finding GCF of 5934, 123 using Prime Factorization

Given Input Data is 5934, 123

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 5934 is 2 x 3 x 23 x 43

Prime Factorization of 123 is 3 x 41

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCF as 3

Divide both terms by the GCF, 3:

5934 ÷ 3 = 1978

123 ÷ 3 = 41

Therefore the reduced ratio is 1978:41

FAQs on Simplification of Ratios 69 : 1 37/86

1. What is Simplification of Ratios 69 : 1 37/86 ?

Simplification of Ratios 69 : 1 37/86 is 1978:41

2. How to Simplify Ratios 69 : 1 37/86 ?

List the factors of both the terms individually. Find the GCF of 69 : 1 37/86 and divide both 69 : 1 37/86 with GCF and rewrite ratio in the simplest form.

3. How to say Ratios of 69 : 1 37/86 can’t be simplified further?

You can say Ratios of 69 : 1 37/86 can’t be simplified further when you get the GCF.