Greatest Common Factor of 924/214, 972/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 924/214, 972/486

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 924/214,972/486

Given fractions are 924/214,972/486

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 924,972

Greatest Common Factor of Numerators i.e. GCF of 924,972 is 12 .

LCM of Denominators means LCM of 214,486 as per the given fractions.

LCM of 214,486 is 52002 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 924,972

GCF of Fractions 924/214,972/486 is 12/52002

2 924, 972
2 462, 486
3 231, 243
77, 81

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

Greatest Common Factor of 924,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,972 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

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

Greatest Common Factor

We found the factors 924,972 . The biggest common factor number is the GCF number.
So the greatest common factor 924,972 is 12.

Lets's calculate LCM of 214,486

2 214, 486
107, 243

∴ So the LCM of the given numbers is 2 x 107 x 243 = 52002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/52002

Therefore, the GCF of Fractions 924/214,972/486 is 12/52002

Least Common Multiple of 214,486 with GCF Formula

Least Common Multiple of 214,486 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 214,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,486) = 2

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

GCF(214,486) x common factors =2 x 1 = 2

LCM(214,486) = ( 214 × 486 ) / 2

LCM(214,486) = 104004 / 2

LCM(214,486) = 52002


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 924/214, 972/486

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 924/214, 972/486?

Answer: GCF of Numerators as per given numbers 924/214, 972/486 is

GCF of Numerators i.e. for 924,972 is 12

LCM of denominators i.e. for 214,486 is 52002.

Thus, GCF of Fractions is 12/52002.Finally, GCF of Fractions for 924/214, 972/486 is 12/52002.