Greatest Common Factor of 871/83, 3885/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 871/83, 3885/970

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 871/83,3885/970

Given fractions are 871/83,3885/970

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 871,3885

Greatest Common Factor of Numerators i.e. GCF of 871,3885 is 1 .

LCM of Denominators means LCM of 83,970 as per the given fractions.

LCM of 83,970 is 80510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 871,3885

GCF of Fractions 871/83,3885/970 is 1/80510

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

Greatest Common Factor of 871,3885 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,3885 By Matching Biggest Common Factor Method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 3885

List of positive integer factors of 3885 that divides 3885 without a remainder.

1,3,5,7,15,21,35,37,105,111,185,259,555,777,1295,3885

Greatest Common Factor

We found the factors 871,3885 . The biggest common factor number is the GCF number.
So the greatest common factor 871,3885 is 1.

Lets's calculate LCM of 83,970

Given numbers has no common factors except 1. So, there LCM is their product i.e 80510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80510

Therefore, the GCF of Fractions 871/83,3885/970 is 1/80510

Least Common Multiple of 83,970 with GCF Formula

Least Common Multiple of 83,970 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 83,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,970) = 1

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

GCF(83,970) x common factors =1 x 1 = 1

LCM(83,970) = ( 83 × 970 ) / 1

LCM(83,970) = 80510 / 1

LCM(83,970) = 80510


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 871/83, 3885/970

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 871/83, 3885/970?

Answer: GCF of Numerators as per given numbers 871/83, 3885/970 is

GCF of Numerators i.e. for 871,3885 is 1

LCM of denominators i.e. for 83,970 is 80510.

Thus, GCF of Fractions is 1/80510.Finally, GCF of Fractions for 871/83, 3885/970 is 1/80510.