Greatest Common Factor of 7612/99, 6734/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7612/99, 6734/678

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 7612/99,6734/678

Given fractions are 7612/99,6734/678

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 7612,6734

Greatest Common Factor of Numerators i.e. GCF of 7612,6734 is 2 .

LCM of Denominators means LCM of 99,678 as per the given fractions.

LCM of 99,678 is 22374 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7612,6734

GCF of Fractions 7612/99,6734/678 is 2/22374

2 7612, 6734
3806, 3367

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

Greatest Common Factor of 7612,6734 By Matching Biggest Common Factor Method

Greatest Common Factor of 7612,6734 By Matching Biggest Common Factor Method

Factors of 7612

List of positive integer factors of 7612 that divides 7612 without a remainder.

1,2,4,11,22,44,173,346,692,1903,3806,7612

Factors of 6734

List of positive integer factors of 6734 that divides 6734 without a remainder.

1,2,7,13,14,26,37,74,91,182,259,481,518,962,3367,6734

Greatest Common Factor

We found the factors 7612,6734 . The biggest common factor number is the GCF number.
So the greatest common factor 7612,6734 is 2.

Lets's calculate LCM of 99,678

3 99, 678
33, 226

∴ So the LCM of the given numbers is 3 x 33 x 226 = 22374

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22374

Therefore, the GCF of Fractions 7612/99,6734/678 is 2/22374

Least Common Multiple of 99,678 with GCF Formula

Least Common Multiple of 99,678 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 99,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,678) = 3

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

GCF(99,678) x common factors =3 x 1 = 3

LCM(99,678) = ( 99 × 678 ) / 3

LCM(99,678) = 67122 / 3

LCM(99,678) = 22374


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 7612/99, 6734/678

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 7612/99, 6734/678?

Answer: GCF of Numerators as per given numbers 7612/99, 6734/678 is

GCF of Numerators i.e. for 7612,6734 is 2

LCM of denominators i.e. for 99,678 is 22374.

Thus, GCF of Fractions is 2/22374.Finally, GCF of Fractions for 7612/99, 6734/678 is 2/22374.