Greatest Common Factor of 48/971, 120/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/971, 120/332

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 48/971,120/332

Given fractions are 48/971,120/332

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 48,120

Greatest Common Factor of Numerators i.e. GCF of 48,120 is 24 .

LCM of Denominators means LCM of 971,332 as per the given fractions.

LCM of 971,332 is 322372 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,120

GCF of Fractions 48/971,120/332 is 24/322372

2 48, 120
2 24, 60
2 12, 30
3 6, 15
2, 5

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 48,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,120 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 48,120 . The biggest common factor number is the GCF number.
So the greatest common factor 48,120 is 24.

Lets's calculate LCM of 971,332

Given numbers has no common factors except 1. So, there LCM is their product i.e 322372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/322372

Therefore, the GCF of Fractions 48/971,120/332 is 24/322372

Least Common Multiple of 971,332 with GCF Formula

Least Common Multiple of 971,332 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 971,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,332) = 1

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

GCF(971,332) x common factors =1 x 1 = 1

LCM(971,332) = ( 971 × 332 ) / 1

LCM(971,332) = 322372 / 1

LCM(971,332) = 322372


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 48/971, 120/332

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 48/971, 120/332?

Answer: GCF of Numerators as per given numbers 48/971, 120/332 is

GCF of Numerators i.e. for 48,120 is 24

LCM of denominators i.e. for 971,332 is 322372.

Thus, GCF of Fractions is 24/322372.Finally, GCF of Fractions for 48/971, 120/332 is 24/322372.