Greatest Common Factor of 7871/895, 3505/9540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7871/895, 3505/9540

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 7871/895,3505/9540

Given fractions are 7871/895,3505/9540

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 7871,3505

Greatest Common Factor of Numerators i.e. GCF of 7871,3505 is 1 .

LCM of Denominators means LCM of 895,9540 as per the given fractions.

LCM of 895,9540 is 1707660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7871,3505

GCF of Fractions 7871/895,3505/9540 is 1/1707660

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

Greatest Common Factor of 7871,3505 By Matching Biggest Common Factor Method

Greatest Common Factor of 7871,3505 By Matching Biggest Common Factor Method

Factors of 7871

List of positive integer factors of 7871 that divides 7871 without a remainder.

1,17,463,7871

Factors of 3505

List of positive integer factors of 3505 that divides 3505 without a remainder.

1,5,701,3505

Greatest Common Factor

We found the factors 7871,3505 . The biggest common factor number is the GCF number.
So the greatest common factor 7871,3505 is 1.

Lets's calculate LCM of 895,9540

5 895, 9540
179, 1908

∴ So the LCM of the given numbers is 5 x 179 x 1908 = 1707660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1707660

Therefore, the GCF of Fractions 7871/895,3505/9540 is 1/1707660

Least Common Multiple of 895,9540 with GCF Formula

Least Common Multiple of 895,9540 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 895,9540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(895,9540) = 5

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

GCF(895,9540) x common factors =5 x 1 = 5

LCM(895,9540) = ( 895 × 9540 ) / 5

LCM(895,9540) = 8538300 / 5

LCM(895,9540) = 1707660


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 7871/895, 3505/9540

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 7871/895, 3505/9540?

Answer: GCF of Numerators as per given numbers 7871/895, 3505/9540 is

GCF of Numerators i.e. for 7871,3505 is 1

LCM of denominators i.e. for 895,9540 is 1707660.

Thus, GCF of Fractions is 1/1707660.Finally, GCF of Fractions for 7871/895, 3505/9540 is 1/1707660.