Greatest Common Factor of 3947/76, 5801/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3947/76, 5801/972

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 3947/76,5801/972

Given fractions are 3947/76,5801/972

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 3947,5801

Greatest Common Factor of Numerators i.e. GCF of 3947,5801 is 1 .

LCM of Denominators means LCM of 76,972 as per the given fractions.

LCM of 76,972 is 18468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3947,5801

GCF of Fractions 3947/76,5801/972 is 1/18468

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

Greatest Common Factor of 3947,5801 By Matching Biggest Common Factor Method

Greatest Common Factor of 3947,5801 By Matching Biggest Common Factor Method

Factors of 3947

List of positive integer factors of 3947 that divides 3947 without a remainder.

1,3947

Factors of 5801

List of positive integer factors of 5801 that divides 5801 without a remainder.

1,5801

Greatest Common Factor

We found the factors 3947,5801 . The biggest common factor number is the GCF number.
So the greatest common factor 3947,5801 is 1.

Lets's calculate LCM of 76,972

2 76, 972
2 38, 486
19, 243

∴ So the LCM of the given numbers is 2 x 2 x 19 x 243 = 18468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18468

Therefore, the GCF of Fractions 3947/76,5801/972 is 1/18468

Least Common Multiple of 76,972 with GCF Formula

Least Common Multiple of 76,972 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 76,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,972) = 4

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

GCF(76,972) x common factors =4 x 1 = 4

LCM(76,972) = ( 76 × 972 ) / 4

LCM(76,972) = 73872 / 4

LCM(76,972) = 18468


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 3947/76, 5801/972

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 3947/76, 5801/972?

Answer: GCF of Numerators as per given numbers 3947/76, 5801/972 is

GCF of Numerators i.e. for 3947,5801 is 1

LCM of denominators i.e. for 76,972 is 18468.

Thus, GCF of Fractions is 1/18468.Finally, GCF of Fractions for 3947/76, 5801/972 is 1/18468.