Greatest Common Factor of 4752/107, 9432/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4752/107, 9432/981

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 4752/107,9432/981

Given fractions are 4752/107,9432/981

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 4752,9432

Greatest Common Factor of Numerators i.e. GCF of 4752,9432 is 72 .

LCM of Denominators means LCM of 107,981 as per the given fractions.

LCM of 107,981 is 104967 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4752,9432

GCF of Fractions 4752/107,9432/981 is 72/104967

2 4752, 9432
2 2376, 4716
2 1188, 2358
3 594, 1179
3 198, 393
66, 131

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 = 72

Greatest Common Factor of 4752,9432 By Matching Biggest Common Factor Method

Greatest Common Factor of 4752,9432 By Matching Biggest Common Factor Method

Factors of 4752

List of positive integer factors of 4752 that divides 4752 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,27,33,36,44,48,54,66,72,88,99,108,132,144,176,198,216,264,297,396,432,528,594,792,1188,1584,2376,4752

Factors of 9432

List of positive integer factors of 9432 that divides 9432 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,131,262,393,524,786,1048,1179,1572,2358,3144,4716,9432

Greatest Common Factor

We found the factors 4752,9432 . The biggest common factor number is the GCF number.
So the greatest common factor 4752,9432 is 72.

Lets's calculate LCM of 107,981

Given numbers has no common factors except 1. So, there LCM is their product i.e 104967

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 72/104967

Therefore, the GCF of Fractions 4752/107,9432/981 is 72/104967

Least Common Multiple of 107,981 with GCF Formula

Least Common Multiple of 107,981 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 107,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,981) = 1

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

GCF(107,981) x common factors =1 x 1 = 1

LCM(107,981) = ( 107 × 981 ) / 1

LCM(107,981) = 104967 / 1

LCM(107,981) = 104967


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 4752/107, 9432/981

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 4752/107, 9432/981?

Answer: GCF of Numerators as per given numbers 4752/107, 9432/981 is

GCF of Numerators i.e. for 4752,9432 is 72

LCM of denominators i.e. for 107,981 is 104967.

Thus, GCF of Fractions is 72/104967.Finally, GCF of Fractions for 4752/107, 9432/981 is 72/104967.