Greatest Common Factor of 3711/87, 4251/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3711/87, 4251/742

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 3711/87,4251/742

Given fractions are 3711/87,4251/742

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 3711,4251

Greatest Common Factor of Numerators i.e. GCF of 3711,4251 is 3 .

LCM of Denominators means LCM of 87,742 as per the given fractions.

LCM of 87,742 is 64554 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3711,4251

GCF of Fractions 3711/87,4251/742 is 3/64554

3 3711, 4251
1237, 1417

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

Greatest Common Factor of 3711,4251 By Matching Biggest Common Factor Method

Greatest Common Factor of 3711,4251 By Matching Biggest Common Factor Method

Factors of 3711

List of positive integer factors of 3711 that divides 3711 without a remainder.

1,3,1237,3711

Factors of 4251

List of positive integer factors of 4251 that divides 4251 without a remainder.

1,3,13,39,109,327,1417,4251

Greatest Common Factor

We found the factors 3711,4251 . The biggest common factor number is the GCF number.
So the greatest common factor 3711,4251 is 3.

Lets's calculate LCM of 87,742

Given numbers has no common factors except 1. So, there LCM is their product i.e 64554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/64554

Therefore, the GCF of Fractions 3711/87,4251/742 is 3/64554

Least Common Multiple of 87,742 with GCF Formula

Least Common Multiple of 87,742 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 87,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,742) = 1

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

GCF(87,742) x common factors =1 x 1 = 1

LCM(87,742) = ( 87 × 742 ) / 1

LCM(87,742) = 64554 / 1

LCM(87,742) = 64554


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 3711/87, 4251/742

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 3711/87, 4251/742?

Answer: GCF of Numerators as per given numbers 3711/87, 4251/742 is

GCF of Numerators i.e. for 3711,4251 is 3

LCM of denominators i.e. for 87,742 is 64554.

Thus, GCF of Fractions is 3/64554.Finally, GCF of Fractions for 3711/87, 4251/742 is 3/64554.