Greatest Common Factor of 966/694, 7513/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 966/694, 7513/252

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 966/694,7513/252

Given fractions are 966/694,7513/252

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 966,7513

Greatest Common Factor of Numerators i.e. GCF of 966,7513 is 1 .

LCM of Denominators means LCM of 694,252 as per the given fractions.

LCM of 694,252 is 87444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 966,7513

GCF of Fractions 966/694,7513/252 is 1/87444

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

Greatest Common Factor of 966,7513 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,7513 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 7513

List of positive integer factors of 7513 that divides 7513 without a remainder.

1,11,683,7513

Greatest Common Factor

We found the factors 966,7513 . The biggest common factor number is the GCF number.
So the greatest common factor 966,7513 is 1.

Lets's calculate LCM of 694,252

2 694, 252
347, 126

∴ So the LCM of the given numbers is 2 x 347 x 126 = 87444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87444

Therefore, the GCF of Fractions 966/694,7513/252 is 1/87444

Least Common Multiple of 694,252 with GCF Formula

Least Common Multiple of 694,252 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 694,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,252) = 2

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

GCF(694,252) x common factors =2 x 1 = 2

LCM(694,252) = ( 694 × 252 ) / 2

LCM(694,252) = 174888 / 2

LCM(694,252) = 87444


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 966/694, 7513/252

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 966/694, 7513/252?

Answer: GCF of Numerators as per given numbers 966/694, 7513/252 is

GCF of Numerators i.e. for 966,7513 is 1

LCM of denominators i.e. for 694,252 is 87444.

Thus, GCF of Fractions is 1/87444.Finally, GCF of Fractions for 966/694, 7513/252 is 1/87444.