Greatest Common Factor of 1964/52, 7199/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1964/52, 7199/788

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 1964/52,7199/788

Given fractions are 1964/52,7199/788

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 1964,7199

Greatest Common Factor of Numerators i.e. GCF of 1964,7199 is 1 .

LCM of Denominators means LCM of 52,788 as per the given fractions.

LCM of 52,788 is 10244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1964,7199

GCF of Fractions 1964/52,7199/788 is 1/10244

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1964,7199 By Matching Biggest Common Factor Method

Greatest Common Factor of 1964,7199 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 7199

List of positive integer factors of 7199 that divides 7199 without a remainder.

1,23,313,7199

Greatest Common Factor

We found the factors 1964,7199 . The biggest common factor number is the GCF number.
So the greatest common factor 1964,7199 is 1.

Lets's calculate LCM of 52,788

2 52, 788
2 26, 394
13, 197

∴ So the LCM of the given numbers is 2 x 2 x 13 x 197 = 10244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10244

Therefore, the GCF of Fractions 1964/52,7199/788 is 1/10244

Least Common Multiple of 52,788 with GCF Formula

Least Common Multiple of 52,788 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 52,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,788) = 4

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

GCF(52,788) x common factors =4 x 1 = 4

LCM(52,788) = ( 52 × 788 ) / 4

LCM(52,788) = 40976 / 4

LCM(52,788) = 10244


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 1964/52, 7199/788

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 1964/52, 7199/788?

Answer: GCF of Numerators as per given numbers 1964/52, 7199/788 is

GCF of Numerators i.e. for 1964,7199 is 1

LCM of denominators i.e. for 52,788 is 10244.

Thus, GCF of Fractions is 1/10244.Finally, GCF of Fractions for 1964/52, 7199/788 is 1/10244.