Greatest Common Factor of 723/94, 522/64, 400/87

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 723/94, 522/64, 400/87

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 723/94,522/64,400/87

Given fractions are 723/94,522/64,400/87

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 723,522,400

Greatest Common Factor of Numerators i.e. GCF of 723,522,400 is 1 .

LCM of Denominators means LCM of 94,64,87 as per the given fractions.

LCM of 94,64,87 is 261696 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 723,522,400

GCF of Fractions 723/94,522/64,400/87 is 1/261696

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

Greatest Common Factor of 723,522,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,522,400 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 723,522,400 . The biggest common factor number is the GCF number.
So the greatest common factor 723,522,400 is 1.

Lets's calculate LCM of 94,64,87

2 94, 64, 87
47, 32, 87

∴ So the LCM of the given numbers is 2 x 47 x 32 x 87 = 261696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/261696

Therefore, the GCF of Fractions 723/94,522/64,400/87 is 1/261696

Least Common Multiple of 94,64,87 with GCF Formula

Least Common Multiple of 94,64,87 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 94,64,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,64,87) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,64,87) x common factors =1 x 2 = 2

LCM(94,64,87) = ( 94 × 64 × 87 ) / 2

LCM(94,64,87) = 523392 / 2

LCM(94,64,87) = 261696


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 723/94, 522/64, 400/87

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 723/94, 522/64, 400/87?

Answer: GCF of Numerators as per given numbers 723/94, 522/64, 400/87 is

GCF of Numerators i.e. for 723,522,400 is 1

LCM of denominators i.e. for 94,64,87 is 261696.

Thus, GCF of Fractions is 1/261696.Finally, GCF of Fractions for 723/94, 522/64, 400/87 is 1/261696.