Greatest Common Factor of 756/638, 368/898, 796/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/638, 368/898, 796/861

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 756/638,368/898,796/861

Given fractions are 756/638,368/898,796/861

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 756,368,796

Greatest Common Factor of Numerators i.e. GCF of 756,368,796 is 4 .

LCM of Denominators means LCM of 638,898,861 as per the given fractions.

LCM of 638,898,861 is 246643782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,368,796

GCF of Fractions 756/638,368/898,796/861 is 4/246643782

2 756, 368, 796
2 378, 184, 398
189, 92, 199

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 756,368,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,368,796 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 756,368,796 . The biggest common factor number is the GCF number.
So the greatest common factor 756,368,796 is 4.

Lets's calculate LCM of 638,898,861

2 638, 898, 861
319, 449, 861

∴ So the LCM of the given numbers is 2 x 319 x 449 x 861 = 246643782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/246643782

Therefore, the GCF of Fractions 756/638,368/898,796/861 is 4/246643782

Least Common Multiple of 638,898,861 with GCF Formula

Least Common Multiple of 638,898,861 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 638,898,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,898,861) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(638,898,861) x common factors =1 x 2 = 2

LCM(638,898,861) = ( 638 × 898 × 861 ) / 2

LCM(638,898,861) = 493287564 / 2

LCM(638,898,861) = 246643782


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 756/638, 368/898, 796/861

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 756/638, 368/898, 796/861?

Answer: GCF of Numerators as per given numbers 756/638, 368/898, 796/861 is

GCF of Numerators i.e. for 756,368,796 is 4

LCM of denominators i.e. for 638,898,861 is 246643782.

Thus, GCF of Fractions is 4/246643782.Finally, GCF of Fractions for 756/638, 368/898, 796/861 is 4/246643782.