Greatest Common Factor of 966/544, 575/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 966/544, 575/400

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 966/544,575/400

Given fractions are 966/544,575/400

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 966,575

Greatest Common Factor of Numerators i.e. GCF of 966,575 is 23 .

LCM of Denominators means LCM of 544,400 as per the given fractions.

LCM of 544,400 is 13600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 966,575

GCF of Fractions 966/544,575/400 is 23/13600

23 966, 575
42, 25

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 966,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,575 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 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 966,575 . The biggest common factor number is the GCF number.
So the greatest common factor 966,575 is 23.

Lets's calculate LCM of 544,400

2 544, 400
2 272, 200
2 136, 100
2 68, 50
34, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 34 x 25 = 13600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/13600

Therefore, the GCF of Fractions 966/544,575/400 is 23/13600

Least Common Multiple of 544,400 with GCF Formula

Least Common Multiple of 544,400 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 544,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,400) = 16

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

GCF(544,400) x common factors =16 x 1 = 16

LCM(544,400) = ( 544 × 400 ) / 16

LCM(544,400) = 217600 / 16

LCM(544,400) = 13600


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 966/544, 575/400

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 966/544, 575/400?

Answer: GCF of Numerators as per given numbers 966/544, 575/400 is

GCF of Numerators i.e. for 966,575 is 23

LCM of denominators i.e. for 544,400 is 13600.

Thus, GCF of Fractions is 23/13600.Finally, GCF of Fractions for 966/544, 575/400 is 23/13600.