Greatest Common Factor of 972/85, 480/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 972/85, 480/450

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 972/85,480/450

Given fractions are 972/85,480/450

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 972,480

Greatest Common Factor of Numerators i.e. GCF of 972,480 is 12 .

LCM of Denominators means LCM of 85,450 as per the given fractions.

LCM of 85,450 is 7650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 972,480

GCF of Fractions 972/85,480/450 is 12/7650

2 972, 480
2 486, 240
3 243, 120
81, 40

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 972,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,480 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 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 972,480 . The biggest common factor number is the GCF number.
So the greatest common factor 972,480 is 12.

Lets's calculate LCM of 85,450

5 85, 450
17, 90

∴ So the LCM of the given numbers is 5 x 17 x 90 = 7650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/7650

Therefore, the GCF of Fractions 972/85,480/450 is 12/7650

Least Common Multiple of 85,450 with GCF Formula

Least Common Multiple of 85,450 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 85,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,450) = 5

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

GCF(85,450) x common factors =5 x 1 = 5

LCM(85,450) = ( 85 × 450 ) / 5

LCM(85,450) = 38250 / 5

LCM(85,450) = 7650


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 972/85, 480/450

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 972/85, 480/450?

Answer: GCF of Numerators as per given numbers 972/85, 480/450 is

GCF of Numerators i.e. for 972,480 is 12

LCM of denominators i.e. for 85,450 is 7650.

Thus, GCF of Fractions is 12/7650.Finally, GCF of Fractions for 972/85, 480/450 is 12/7650.