Greatest Common Factor of 636/345, 7762/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 636/345, 7762/735

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 636/345,7762/735

Given fractions are 636/345,7762/735

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 636,7762

Greatest Common Factor of Numerators i.e. GCF of 636,7762 is 2 .

LCM of Denominators means LCM of 345,735 as per the given fractions.

LCM of 345,735 is 16905 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 636,7762

GCF of Fractions 636/345,7762/735 is 2/16905

2 636, 7762
318, 3881

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

Greatest Common Factor of 636,7762 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,7762 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 7762

List of positive integer factors of 7762 that divides 7762 without a remainder.

1,2,3881,7762

Greatest Common Factor

We found the factors 636,7762 . The biggest common factor number is the GCF number.
So the greatest common factor 636,7762 is 2.

Lets's calculate LCM of 345,735

3 345, 735
5 115, 245
23, 49

∴ So the LCM of the given numbers is 3 x 5 x 23 x 49 = 16905

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16905

Therefore, the GCF of Fractions 636/345,7762/735 is 2/16905

Least Common Multiple of 345,735 with GCF Formula

Least Common Multiple of 345,735 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 345,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,735) = 15

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

GCF(345,735) x common factors =15 x 1 = 15

LCM(345,735) = ( 345 × 735 ) / 15

LCM(345,735) = 253575 / 15

LCM(345,735) = 16905


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 636/345, 7762/735

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 636/345, 7762/735?

Answer: GCF of Numerators as per given numbers 636/345, 7762/735 is

GCF of Numerators i.e. for 636,7762 is 2

LCM of denominators i.e. for 345,735 is 16905.

Thus, GCF of Fractions is 2/16905.Finally, GCF of Fractions for 636/345, 7762/735 is 2/16905.