Greatest Common Factor of 6694/956, 6394/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6694/956, 6394/632

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 6694/956,6394/632

Given fractions are 6694/956,6394/632

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 6694,6394

Greatest Common Factor of Numerators i.e. GCF of 6694,6394 is 2 .

LCM of Denominators means LCM of 956,632 as per the given fractions.

LCM of 956,632 is 151048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6694,6394

GCF of Fractions 6694/956,6394/632 is 2/151048

2 6694, 6394
3347, 3197

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

Greatest Common Factor of 6694,6394 By Matching Biggest Common Factor Method

Greatest Common Factor of 6694,6394 By Matching Biggest Common Factor Method

Factors of 6694

List of positive integer factors of 6694 that divides 6694 without a remainder.

1,2,3347,6694

Factors of 6394

List of positive integer factors of 6394 that divides 6394 without a remainder.

1,2,23,46,139,278,3197,6394

Greatest Common Factor

We found the factors 6694,6394 . The biggest common factor number is the GCF number.
So the greatest common factor 6694,6394 is 2.

Lets's calculate LCM of 956,632

2 956, 632
2 478, 316
239, 158

∴ So the LCM of the given numbers is 2 x 2 x 239 x 158 = 151048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/151048

Therefore, the GCF of Fractions 6694/956,6394/632 is 2/151048

Least Common Multiple of 956,632 with GCF Formula

Least Common Multiple of 956,632 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 956,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,632) = 4

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

GCF(956,632) x common factors =4 x 1 = 4

LCM(956,632) = ( 956 × 632 ) / 4

LCM(956,632) = 604192 / 4

LCM(956,632) = 151048


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 6694/956, 6394/632

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 6694/956, 6394/632?

Answer: GCF of Numerators as per given numbers 6694/956, 6394/632 is

GCF of Numerators i.e. for 6694,6394 is 2

LCM of denominators i.e. for 956,632 is 151048.

Thus, GCF of Fractions is 2/151048.Finally, GCF of Fractions for 6694/956, 6394/632 is 2/151048.