Greatest Common Factor of 6710/906, 3590/4656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6710/906, 3590/4656

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 6710/906,3590/4656

Given fractions are 6710/906,3590/4656

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 6710,3590

Greatest Common Factor of Numerators i.e. GCF of 6710,3590 is 10 .

LCM of Denominators means LCM of 906,4656 as per the given fractions.

LCM of 906,4656 is 703056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6710,3590

GCF of Fractions 6710/906,3590/4656 is 10/703056

2 6710, 3590
5 3355, 1795
671, 359

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 6710,3590 By Matching Biggest Common Factor Method

Greatest Common Factor of 6710,3590 By Matching Biggest Common Factor Method

Factors of 6710

List of positive integer factors of 6710 that divides 6710 without a remainder.

1,2,5,10,11,22,55,61,110,122,305,610,671,1342,3355,6710

Factors of 3590

List of positive integer factors of 3590 that divides 3590 without a remainder.

1,2,5,10,359,718,1795,3590

Greatest Common Factor

We found the factors 6710,3590 . The biggest common factor number is the GCF number.
So the greatest common factor 6710,3590 is 10.

Lets's calculate LCM of 906,4656

2 906, 4656
3 453, 2328
151, 776

∴ So the LCM of the given numbers is 2 x 3 x 151 x 776 = 703056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/703056

Therefore, the GCF of Fractions 6710/906,3590/4656 is 10/703056

Least Common Multiple of 906,4656 with GCF Formula

Least Common Multiple of 906,4656 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 906,4656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,4656) = 6

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

GCF(906,4656) x common factors =6 x 1 = 6

LCM(906,4656) = ( 906 × 4656 ) / 6

LCM(906,4656) = 4218336 / 6

LCM(906,4656) = 703056


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 6710/906, 3590/4656

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 6710/906, 3590/4656?

Answer: GCF of Numerators as per given numbers 6710/906, 3590/4656 is

GCF of Numerators i.e. for 6710,3590 is 10

LCM of denominators i.e. for 906,4656 is 703056.

Thus, GCF of Fractions is 10/703056.Finally, GCF of Fractions for 6710/906, 3590/4656 is 10/703056.