Greatest Common Factor of 3608/637, 7977/6212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3608/637, 7977/6212

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 3608/637,7977/6212

Given fractions are 3608/637,7977/6212

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 3608,7977

Greatest Common Factor of Numerators i.e. GCF of 3608,7977 is 1 .

LCM of Denominators means LCM of 637,6212 as per the given fractions.

LCM of 637,6212 is 3957044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3608,7977

GCF of Fractions 3608/637,7977/6212 is 1/3957044

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3608,7977 By Matching Biggest Common Factor Method

Greatest Common Factor of 3608,7977 By Matching Biggest Common Factor Method

Factors of 3608

List of positive integer factors of 3608 that divides 3608 without a remainder.

1,2,4,8,11,22,41,44,82,88,164,328,451,902,1804,3608

Factors of 7977

List of positive integer factors of 7977 that divides 7977 without a remainder.

1,3,2659,7977

Greatest Common Factor

We found the factors 3608,7977 . The biggest common factor number is the GCF number.
So the greatest common factor 3608,7977 is 1.

Lets's calculate LCM of 637,6212

Given numbers has no common factors except 1. So, there LCM is their product i.e 3957044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3957044

Therefore, the GCF of Fractions 3608/637,7977/6212 is 1/3957044

Least Common Multiple of 637,6212 with GCF Formula

Least Common Multiple of 637,6212 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 637,6212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(637,6212) = 1

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

GCF(637,6212) x common factors =1 x 1 = 1

LCM(637,6212) = ( 637 × 6212 ) / 1

LCM(637,6212) = 3957044 / 1

LCM(637,6212) = 3957044


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 3608/637, 7977/6212

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 3608/637, 7977/6212?

Answer: GCF of Numerators as per given numbers 3608/637, 7977/6212 is

GCF of Numerators i.e. for 3608,7977 is 1

LCM of denominators i.e. for 637,6212 is 3957044.

Thus, GCF of Fractions is 1/3957044.Finally, GCF of Fractions for 3608/637, 7977/6212 is 1/3957044.