14 : 8 23/71 Ratio Simplifier Calculator

Simplify Ratio 14 : 8 23/71 making use of the Ratio Simplifier and get accurate results without any delay along with step by step process.
 

Simplify Ratio 14 : 8 23/71

Convert 8 23/71 as an Improper Fraction

Given Mixed Number is 8 23/71

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

The Whole Number is 8 and the fractional part is 23/71.

On adding them, they can be written as:

8/1 + 23/71

The L.C.M of the denominators 1 and 71 is 71.

The numerator of the first fraction 8 is multiplied with the denominator of the second fraction 71.

8 x 71 + 23/71

568 + 23/71

After multiplying, the numerators 568 and 23 should be added.

591/71

The fraction value we get is 591/71.

After converting the Mixed Number 8 23/71 to the Improper Fraction,the result is 591/71.

Find LCM of 1 and 71 is 71

Finding LCM of 1,71 by Common Division

Arrange the Inputs 1,71 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 71

Finding LCM of 1,71 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, 71) = 1

LCM(1, 71) = ( 1 x 71 ) / 1

LCM(1, 71) = 71 / 1

LCM(1, 71) = 71

LCM of 1,71 is 71

We now have:

994/71 : 591/71

= 994 : 591

Find GCF of 994 and 591 is 1

Finding GCF of 994, 591 using Factoring

Given Input numbers are 994, 591

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

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Greatest Common Factor

We found the factors of 994, 591 . The biggest common factor number is the GCF number.
So the Greatest Common Factor 994, 591 is 1.

Therefore, GCF of numbers 994, 591 is 1

Finding GCF of 994, 591 using Prime Factorization

Given Input Data is 994, 591

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 591 is 3 x 197

The above numbers do not have any common prime factor. So GCF is 1

Divide both terms by the GCF, 1:

994 ÷ 1 = 994

591 ÷ 1 = 591

Therefore the reduced ratio is 994:591

FAQs on Simplification of Ratios 14 : 8 23/71

1. What is Simplification of Ratios 14 : 8 23/71 ?

Simplification of Ratios 14 : 8 23/71 is 994:591

2. How to Simplify Ratios 14 : 8 23/71 ?

List the factors of both the terms individually. Find the GCF of 14 : 8 23/71 and divide both 14 : 8 23/71 with GCF and rewrite ratio in the simplest form.

3. How to say Ratios of 14 : 8 23/71 can’t be simplified further?

You can say Ratios of 14 : 8 23/71 can’t be simplified further when you get the GCF.