Greatest Common Factor of 1964/89, 7516/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1964/89, 7516/972

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 1964/89,7516/972

Given fractions are 1964/89,7516/972

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 1964,7516

Greatest Common Factor of Numerators i.e. GCF of 1964,7516 is 4 .

LCM of Denominators means LCM of 89,972 as per the given fractions.

LCM of 89,972 is 86508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1964,7516

GCF of Fractions 1964/89,7516/972 is 4/86508

2 1964, 7516
2 982, 3758
491, 1879

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

Greatest Common Factor of 1964,7516 By Matching Biggest Common Factor Method

Greatest Common Factor of 1964,7516 By Matching Biggest Common Factor Method

Factors of 1964

List of positive integer factors of 1964 that divides 1964 without a remainder.

1,2,4,491,982,1964

Factors of 7516

List of positive integer factors of 7516 that divides 7516 without a remainder.

1,2,4,1879,3758,7516

Greatest Common Factor

We found the factors 1964,7516 . The biggest common factor number is the GCF number.
So the greatest common factor 1964,7516 is 4.

Lets's calculate LCM of 89,972

Given numbers has no common factors except 1. So, there LCM is their product i.e 86508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/86508

Therefore, the GCF of Fractions 1964/89,7516/972 is 4/86508

Least Common Multiple of 89,972 with GCF Formula

Least Common Multiple of 89,972 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 89,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,972) = 1

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

GCF(89,972) x common factors =1 x 1 = 1

LCM(89,972) = ( 89 × 972 ) / 1

LCM(89,972) = 86508 / 1

LCM(89,972) = 86508


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 1964/89, 7516/972

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 1964/89, 7516/972?

Answer: GCF of Numerators as per given numbers 1964/89, 7516/972 is

GCF of Numerators i.e. for 1964,7516 is 4

LCM of denominators i.e. for 89,972 is 86508.

Thus, GCF of Fractions is 4/86508.Finally, GCF of Fractions for 1964/89, 7516/972 is 4/86508.