Greatest Common Factor of 972/32, 341/30, 276/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 972/32, 341/30, 276/953

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 972/32,341/30,276/953

Given fractions are 972/32,341/30,276/953

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 972,341,276

Greatest Common Factor of Numerators i.e. GCF of 972,341,276 is 1 .

LCM of Denominators means LCM of 32,30,953 as per the given fractions.

LCM of 32,30,953 is 457440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 972,341,276

GCF of Fractions 972/32,341/30,276/953 is 1/457440

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

Greatest Common Factor of 972,341,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,341,276 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 972,341,276 . The biggest common factor number is the GCF number.
So the greatest common factor 972,341,276 is 1.

Lets's calculate LCM of 32,30,953

2 32, 30, 953
16, 15, 953

∴ So the LCM of the given numbers is 2 x 16 x 15 x 953 = 457440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/457440

Therefore, the GCF of Fractions 972/32,341/30,276/953 is 1/457440

Least Common Multiple of 32,30,953 with GCF Formula

Least Common Multiple of 32,30,953 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 32,30,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,30,953) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(32,30,953) x common factors =1 x 2 = 2

LCM(32,30,953) = ( 32 × 30 × 953 ) / 2

LCM(32,30,953) = 914880 / 2

LCM(32,30,953) = 457440


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 972/32, 341/30, 276/953

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 972/32, 341/30, 276/953?

Answer: GCF of Numerators as per given numbers 972/32, 341/30, 276/953 is

GCF of Numerators i.e. for 972,341,276 is 1

LCM of denominators i.e. for 32,30,953 is 457440.

Thus, GCF of Fractions is 1/457440.Finally, GCF of Fractions for 972/32, 341/30, 276/953 is 1/457440.