Greatest Common Factor of 3117/37, 9816/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3117/37, 9816/504

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 3117/37,9816/504

Given fractions are 3117/37,9816/504

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 3117,9816

Greatest Common Factor of Numerators i.e. GCF of 3117,9816 is 3 .

LCM of Denominators means LCM of 37,504 as per the given fractions.

LCM of 37,504 is 18648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3117,9816

GCF of Fractions 3117/37,9816/504 is 3/18648

3 3117, 9816
1039, 3272

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3117,9816 By Matching Biggest Common Factor Method

Greatest Common Factor of 3117,9816 By Matching Biggest Common Factor Method

Factors of 3117

List of positive integer factors of 3117 that divides 3117 without a remainder.

1,3,1039,3117

Factors of 9816

List of positive integer factors of 9816 that divides 9816 without a remainder.

1,2,3,4,6,8,12,24,409,818,1227,1636,2454,3272,4908,9816

Greatest Common Factor

We found the factors 3117,9816 . The biggest common factor number is the GCF number.
So the greatest common factor 3117,9816 is 3.

Lets's calculate LCM of 37,504

Given numbers has no common factors except 1. So, there LCM is their product i.e 18648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18648

Therefore, the GCF of Fractions 3117/37,9816/504 is 3/18648

Least Common Multiple of 37,504 with GCF Formula

Least Common Multiple of 37,504 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 37,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,504) = 1

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

GCF(37,504) x common factors =1 x 1 = 1

LCM(37,504) = ( 37 × 504 ) / 1

LCM(37,504) = 18648 / 1

LCM(37,504) = 18648


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 3117/37, 9816/504

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 3117/37, 9816/504?

Answer: GCF of Numerators as per given numbers 3117/37, 9816/504 is

GCF of Numerators i.e. for 3117,9816 is 3

LCM of denominators i.e. for 37,504 is 18648.

Thus, GCF of Fractions is 3/18648.Finally, GCF of Fractions for 3117/37, 9816/504 is 3/18648.