Greatest Common Factor of 6736/950, 9804/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6736/950, 9804/926

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 6736/950,9804/926

Given fractions are 6736/950,9804/926

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 6736,9804

Greatest Common Factor of Numerators i.e. GCF of 6736,9804 is 4 .

LCM of Denominators means LCM of 950,926 as per the given fractions.

LCM of 950,926 is 439850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6736,9804

GCF of Fractions 6736/950,9804/926 is 4/439850

2 6736, 9804
2 3368, 4902
1684, 2451

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

Greatest Common Factor of 6736,9804 By Matching Biggest Common Factor Method

Greatest Common Factor of 6736,9804 By Matching Biggest Common Factor Method

Factors of 6736

List of positive integer factors of 6736 that divides 6736 without a remainder.

1,2,4,8,16,421,842,1684,3368,6736

Factors of 9804

List of positive integer factors of 9804 that divides 9804 without a remainder.

1,2,3,4,6,12,19,38,43,57,76,86,114,129,172,228,258,516,817,1634,2451,3268,4902,9804

Greatest Common Factor

We found the factors 6736,9804 . The biggest common factor number is the GCF number.
So the greatest common factor 6736,9804 is 4.

Lets's calculate LCM of 950,926

2 950, 926
475, 463

∴ So the LCM of the given numbers is 2 x 475 x 463 = 439850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/439850

Therefore, the GCF of Fractions 6736/950,9804/926 is 4/439850

Least Common Multiple of 950,926 with GCF Formula

Least Common Multiple of 950,926 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 950,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,926) = 2

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

GCF(950,926) x common factors =2 x 1 = 2

LCM(950,926) = ( 950 × 926 ) / 2

LCM(950,926) = 879700 / 2

LCM(950,926) = 439850


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 6736/950, 9804/926

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 6736/950, 9804/926?

Answer: GCF of Numerators as per given numbers 6736/950, 9804/926 is

GCF of Numerators i.e. for 6736,9804 is 4

LCM of denominators i.e. for 950,926 is 439850.

Thus, GCF of Fractions is 4/439850.Finally, GCF of Fractions for 6736/950, 9804/926 is 4/439850.