Greatest Common Factor of 889/762, 560/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 889/762, 560/696

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 889/762,560/696

Given fractions are 889/762,560/696

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 889,560

Greatest Common Factor of Numerators i.e. GCF of 889,560 is 7 .

LCM of Denominators means LCM of 762,696 as per the given fractions.

LCM of 762,696 is 88392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 889,560

GCF of Fractions 889/762,560/696 is 7/88392

7 889, 560
127, 80

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 889,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,560 By Matching Biggest Common Factor Method

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 889,560 . The biggest common factor number is the GCF number.
So the greatest common factor 889,560 is 7.

Lets's calculate LCM of 762,696

2 762, 696
3 381, 348
127, 116

∴ So the LCM of the given numbers is 2 x 3 x 127 x 116 = 88392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/88392

Therefore, the GCF of Fractions 889/762,560/696 is 7/88392

Least Common Multiple of 762,696 with GCF Formula

Least Common Multiple of 762,696 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 762,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,696) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(762,696) x common factors =6 x 1 = 6

LCM(762,696) = ( 762 × 696 ) / 6

LCM(762,696) = 530352 / 6

LCM(762,696) = 88392


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 889/762, 560/696

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 889/762, 560/696?

Answer: GCF of Numerators as per given numbers 889/762, 560/696 is

GCF of Numerators i.e. for 889,560 is 7

LCM of denominators i.e. for 762,696 is 88392.

Thus, GCF of Fractions is 7/88392.Finally, GCF of Fractions for 889/762, 560/696 is 7/88392.