Greatest Common Factor of 972/848, 432/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 972/848, 432/933

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 972/848,432/933

Given fractions are 972/848,432/933

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 972,432

Greatest Common Factor of Numerators i.e. GCF of 972,432 is 108 .

LCM of Denominators means LCM of 848,933 as per the given fractions.

LCM of 848,933 is 791184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 972,432

GCF of Fractions 972/848,432/933 is 108/791184

2 972, 432
2 486, 216
3 243, 108
3 81, 36
3 27, 12
9, 4

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 3 = 108

Greatest Common Factor of 972,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,432 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 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 972,432 . The biggest common factor number is the GCF number.
So the greatest common factor 972,432 is 108.

Lets's calculate LCM of 848,933

Given numbers has no common factors except 1. So, there LCM is their product i.e 791184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 108/791184

Therefore, the GCF of Fractions 972/848,432/933 is 108/791184

Least Common Multiple of 848,933 with GCF Formula

Least Common Multiple of 848,933 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 848,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(848,933) = 1

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

GCF(848,933) x common factors =1 x 1 = 1

LCM(848,933) = ( 848 × 933 ) / 1

LCM(848,933) = 791184 / 1

LCM(848,933) = 791184


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 972/848, 432/933

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 972/848, 432/933?

Answer: GCF of Numerators as per given numbers 972/848, 432/933 is

GCF of Numerators i.e. for 972,432 is 108

LCM of denominators i.e. for 848,933 is 791184.

Thus, GCF of Fractions is 108/791184.Finally, GCF of Fractions for 972/848, 432/933 is 108/791184.