Greatest Common Factor of 6734/291, 8995/4722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 6734/291, 8995/4722

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 6734/291,8995/4722

Given fractions are 6734/291,8995/4722

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 6734,8995

Greatest Common Factor of Numerators i.e. GCF of 6734,8995 is 7 .

LCM of Denominators means LCM of 291,4722 as per the given fractions.

LCM of 291,4722 is 458034 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6734,8995

GCF of Fractions 6734/291,8995/4722 is 7/458034

7 6734, 8995
962, 1285

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

Greatest Common Factor of 6734,8995 By Matching Biggest Common Factor Method

Greatest Common Factor of 6734,8995 By Matching Biggest Common Factor Method

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

Factors of 8995

List of positive integer factors of 8995 that divides 8995 without a remainder.

1,5,7,35,257,1285,1799,8995

Greatest Common Factor

We found the factors 6734,8995 . The biggest common factor number is the GCF number.
So the greatest common factor 6734,8995 is 7.


Lets's calculate LCM of 291,4722

3 291, 4722
97, 1574

∴ So the LCM of the given numbers is 3 x 97 x 1574 = 458034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/458034

Therefore, the GCF of Fractions 6734/291,8995/4722 is 7/458034

Least Common Multiple of 291,4722 with GCF Formula

Least Common Multiple of 291,4722 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 291,4722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,4722) = 3

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

GCF(291,4722) x common factors =3 x 1 = 3

LCM(291,4722) = ( 291 × 4722 ) / 3

LCM(291,4722) = 1374102 / 3

LCM(291,4722) = 458034


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 6734/291, 8995/4722

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 6734/291, 8995/4722?

Answer: GCF of Numerators as per given numbers 6734/291, 8995/4722 is

GCF of Numerators i.e. for 6734,8995 is 7

LCM of denominators i.e. for 291,4722 is 458034.

Thus, GCF of Fractions is 7/458034.Finally, GCF of Fractions for 6734/291, 8995/4722 is 7/458034.