Greatest Common Factor of 688/927, 9642/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 688/927, 9642/769

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 688/927,9642/769

Given fractions are 688/927,9642/769

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 688,9642

Greatest Common Factor of Numerators i.e. GCF of 688,9642 is 2 .

LCM of Denominators means LCM of 927,769 as per the given fractions.

LCM of 927,769 is 712863 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 688,9642

GCF of Fractions 688/927,9642/769 is 2/712863

2 688, 9642
344, 4821

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 688,9642 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,9642 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 9642

List of positive integer factors of 9642 that divides 9642 without a remainder.

1,2,3,6,1607,3214,4821,9642

Greatest Common Factor

We found the factors 688,9642 . The biggest common factor number is the GCF number.
So the greatest common factor 688,9642 is 2.

Lets's calculate LCM of 927,769

Given numbers has no common factors except 1. So, there LCM is their product i.e 712863

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/712863

Therefore, the GCF of Fractions 688/927,9642/769 is 2/712863

Least Common Multiple of 927,769 with GCF Formula

Least Common Multiple of 927,769 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 927,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(927,769) = 1

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

GCF(927,769) x common factors =1 x 1 = 1

LCM(927,769) = ( 927 × 769 ) / 1

LCM(927,769) = 712863 / 1

LCM(927,769) = 712863


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 688/927, 9642/769

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 688/927, 9642/769?

Answer: GCF of Numerators as per given numbers 688/927, 9642/769 is

GCF of Numerators i.e. for 688,9642 is 2

LCM of denominators i.e. for 927,769 is 712863.

Thus, GCF of Fractions is 2/712863.Finally, GCF of Fractions for 688/927, 9642/769 is 2/712863.