Greatest Common Factor of 3855/960, 8964/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3855/960, 8964/781

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 3855/960,8964/781

Given fractions are 3855/960,8964/781

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 3855,8964

Greatest Common Factor of Numerators i.e. GCF of 3855,8964 is 3 .

LCM of Denominators means LCM of 960,781 as per the given fractions.

LCM of 960,781 is 749760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3855,8964

GCF of Fractions 3855/960,8964/781 is 3/749760

3 3855, 8964
1285, 2988

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

Greatest Common Factor of 3855,8964 By Matching Biggest Common Factor Method

Greatest Common Factor of 3855,8964 By Matching Biggest Common Factor Method

Factors of 3855

List of positive integer factors of 3855 that divides 3855 without a remainder.

1,3,5,15,257,771,1285,3855

Factors of 8964

List of positive integer factors of 8964 that divides 8964 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,83,108,166,249,332,498,747,996,1494,2241,2988,4482,8964

Greatest Common Factor

We found the factors 3855,8964 . The biggest common factor number is the GCF number.
So the greatest common factor 3855,8964 is 3.

Lets's calculate LCM of 960,781

Given numbers has no common factors except 1. So, there LCM is their product i.e 749760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/749760

Therefore, the GCF of Fractions 3855/960,8964/781 is 3/749760

Least Common Multiple of 960,781 with GCF Formula

Least Common Multiple of 960,781 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 960,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,781) = 1

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

GCF(960,781) x common factors =1 x 1 = 1

LCM(960,781) = ( 960 × 781 ) / 1

LCM(960,781) = 749760 / 1

LCM(960,781) = 749760


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 3855/960, 8964/781

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 3855/960, 8964/781?

Answer: GCF of Numerators as per given numbers 3855/960, 8964/781 is

GCF of Numerators i.e. for 3855,8964 is 3

LCM of denominators i.e. for 960,781 is 749760.

Thus, GCF of Fractions is 3/749760.Finally, GCF of Fractions for 3855/960, 8964/781 is 3/749760.