Greatest Common Factor of 1053/74, 8532/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1053/74, 8532/991

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 1053/74,8532/991

Given fractions are 1053/74,8532/991

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 1053,8532

Greatest Common Factor of Numerators i.e. GCF of 1053,8532 is 27 .

LCM of Denominators means LCM of 74,991 as per the given fractions.

LCM of 74,991 is 73334 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1053,8532

GCF of Fractions 1053/74,8532/991 is 27/73334

3 1053, 8532
3 351, 2844
3 117, 948
39, 316

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 1053,8532 By Matching Biggest Common Factor Method

Greatest Common Factor of 1053,8532 By Matching Biggest Common Factor Method

Factors of 1053

List of positive integer factors of 1053 that divides 1053 without a remainder.

1,3,9,13,27,39,81,117,351,1053

Factors of 8532

List of positive integer factors of 8532 that divides 8532 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,79,108,158,237,316,474,711,948,1422,2133,2844,4266,8532

Greatest Common Factor

We found the factors 1053,8532 . The biggest common factor number is the GCF number.
So the greatest common factor 1053,8532 is 27.

Lets's calculate LCM of 74,991

Given numbers has no common factors except 1. So, there LCM is their product i.e 73334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/73334

Therefore, the GCF of Fractions 1053/74,8532/991 is 27/73334

Least Common Multiple of 74,991 with GCF Formula

Least Common Multiple of 74,991 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 74,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,991) = 1

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

GCF(74,991) x common factors =1 x 1 = 1

LCM(74,991) = ( 74 × 991 ) / 1

LCM(74,991) = 73334 / 1

LCM(74,991) = 73334


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 1053/74, 8532/991

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 1053/74, 8532/991?

Answer: GCF of Numerators as per given numbers 1053/74, 8532/991 is

GCF of Numerators i.e. for 1053,8532 is 27

LCM of denominators i.e. for 74,991 is 73334.

Thus, GCF of Fractions is 27/73334.Finally, GCF of Fractions for 1053/74, 8532/991 is 27/73334.