Greatest Common Factor of 9487/47, 3951/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9487/47, 3951/977

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 9487/47,3951/977

Given fractions are 9487/47,3951/977

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 9487,3951

Greatest Common Factor of Numerators i.e. GCF of 9487,3951 is 1 .

LCM of Denominators means LCM of 47,977 as per the given fractions.

LCM of 47,977 is 45919 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9487,3951

GCF of Fractions 9487/47,3951/977 is 1/45919

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

Greatest Common Factor of 9487,3951 By Matching Biggest Common Factor Method

Greatest Common Factor of 9487,3951 By Matching Biggest Common Factor Method

Factors of 9487

List of positive integer factors of 9487 that divides 9487 without a remainder.

1,53,179,9487

Factors of 3951

List of positive integer factors of 3951 that divides 3951 without a remainder.

1,3,9,439,1317,3951

Greatest Common Factor

We found the factors 9487,3951 . The biggest common factor number is the GCF number.
So the greatest common factor 9487,3951 is 1.

Lets's calculate LCM of 47,977

Given numbers has no common factors except 1. So, there LCM is their product i.e 45919

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45919

Therefore, the GCF of Fractions 9487/47,3951/977 is 1/45919

Least Common Multiple of 47,977 with GCF Formula

Least Common Multiple of 47,977 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 47,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,977) = 1

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

GCF(47,977) x common factors =1 x 1 = 1

LCM(47,977) = ( 47 × 977 ) / 1

LCM(47,977) = 45919 / 1

LCM(47,977) = 45919


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 9487/47, 3951/977

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 9487/47, 3951/977?

Answer: GCF of Numerators as per given numbers 9487/47, 3951/977 is

GCF of Numerators i.e. for 9487,3951 is 1

LCM of denominators i.e. for 47,977 is 45919.

Thus, GCF of Fractions is 1/45919.Finally, GCF of Fractions for 9487/47, 3951/977 is 1/45919.