Greatest Common Factor of 3922/77, 8658/895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3922/77, 8658/895

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 3922/77,8658/895

Given fractions are 3922/77,8658/895

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 3922,8658

Greatest Common Factor of Numerators i.e. GCF of 3922,8658 is 74 .

LCM of Denominators means LCM of 77,895 as per the given fractions.

LCM of 77,895 is 68915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3922,8658

GCF of Fractions 3922/77,8658/895 is 74/68915

2 3922, 8658
37 1961, 4329
53, 117

∴ So the GCF of the given numbers is 2 x 37 = 74

Greatest Common Factor of 3922,8658 By Matching Biggest Common Factor Method

Greatest Common Factor of 3922,8658 By Matching Biggest Common Factor Method

Factors of 3922

List of positive integer factors of 3922 that divides 3922 without a remainder.

1,2,37,53,74,106,1961,3922

Factors of 8658

List of positive integer factors of 8658 that divides 8658 without a remainder.

1,2,3,6,9,13,18,26,37,39,74,78,111,117,222,234,333,481,666,962,1443,2886,4329,8658

Greatest Common Factor

We found the factors 3922,8658 . The biggest common factor number is the GCF number.
So the greatest common factor 3922,8658 is 74.

Lets's calculate LCM of 77,895

Given numbers has no common factors except 1. So, there LCM is their product i.e 68915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/68915

Therefore, the GCF of Fractions 3922/77,8658/895 is 74/68915

Least Common Multiple of 77,895 with GCF Formula

Least Common Multiple of 77,895 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 77,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,895) = 1

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

GCF(77,895) x common factors =1 x 1 = 1

LCM(77,895) = ( 77 × 895 ) / 1

LCM(77,895) = 68915 / 1

LCM(77,895) = 68915


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 3922/77, 8658/895

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 3922/77, 8658/895?

Answer: GCF of Numerators as per given numbers 3922/77, 8658/895 is

GCF of Numerators i.e. for 3922,8658 is 74

LCM of denominators i.e. for 77,895 is 68915.

Thus, GCF of Fractions is 74/68915.Finally, GCF of Fractions for 3922/77, 8658/895 is 74/68915.