Greatest Common Factor of 1984/543, 7852/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1984/543, 7852/961

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 1984/543,7852/961

Given fractions are 1984/543,7852/961

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 1984,7852

Greatest Common Factor of Numerators i.e. GCF of 1984,7852 is 4 .

LCM of Denominators means LCM of 543,961 as per the given fractions.

LCM of 543,961 is 521823 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1984,7852

GCF of Fractions 1984/543,7852/961 is 4/521823

2 1984, 7852
2 992, 3926
496, 1963

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1984,7852 By Matching Biggest Common Factor Method

Greatest Common Factor of 1984,7852 By Matching Biggest Common Factor Method

Factors of 1984

List of positive integer factors of 1984 that divides 1984 without a remainder.

1,2,4,8,16,31,32,62,64,124,248,496,992,1984

Factors of 7852

List of positive integer factors of 7852 that divides 7852 without a remainder.

1,2,4,13,26,52,151,302,604,1963,3926,7852

Greatest Common Factor

We found the factors 1984,7852 . The biggest common factor number is the GCF number.
So the greatest common factor 1984,7852 is 4.

Lets's calculate LCM of 543,961

Given numbers has no common factors except 1. So, there LCM is their product i.e 521823

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/521823

Therefore, the GCF of Fractions 1984/543,7852/961 is 4/521823

Least Common Multiple of 543,961 with GCF Formula

Least Common Multiple of 543,961 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 543,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,961) = 1

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

GCF(543,961) x common factors =1 x 1 = 1

LCM(543,961) = ( 543 × 961 ) / 1

LCM(543,961) = 521823 / 1

LCM(543,961) = 521823


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 1984/543, 7852/961

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 1984/543, 7852/961?

Answer: GCF of Numerators as per given numbers 1984/543, 7852/961 is

GCF of Numerators i.e. for 1984,7852 is 4

LCM of denominators i.e. for 543,961 is 521823.

Thus, GCF of Fractions is 4/521823.Finally, GCF of Fractions for 1984/543, 7852/961 is 4/521823.