Greatest Common Factor of 712/30, 267/96, 644/36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 712/30, 267/96, 644/36

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 712/30,267/96,644/36

Given fractions are 712/30,267/96,644/36

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 712,267,644

Greatest Common Factor of Numerators i.e. GCF of 712,267,644 is 1 .

LCM of Denominators means LCM of 30,96,36 as per the given fractions.

LCM of 30,96,36 is 1440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 712,267,644

GCF of Fractions 712/30,267/96,644/36 is 1/1440

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

Greatest Common Factor of 712,267,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,267,644 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 712,267,644 . The biggest common factor number is the GCF number.
So the greatest common factor 712,267,644 is 1.

Lets's calculate LCM of 30,96,36

2 30, 96, 36
2 15, 48, 18
3 15, 24, 9
5, 8, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 8 x 3 = 1440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1440

Therefore, the GCF of Fractions 712/30,267/96,644/36 is 1/1440

Least Common Multiple of 30,96,36 with GCF Formula

Least Common Multiple of 30,96,36 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 30,96,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,96,36) = 6

common factors(in case of two or more numbers have common factors) = 12

GCF(30,96,36) x common factors =6 x 12 = 72

LCM(30,96,36) = ( 30 × 96 × 36 ) / 72

LCM(30,96,36) = 103680 / 72

LCM(30,96,36) = 1440


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 712/30, 267/96, 644/36

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 712/30, 267/96, 644/36?

Answer: GCF of Numerators as per given numbers 712/30, 267/96, 644/36 is

GCF of Numerators i.e. for 712,267,644 is 1

LCM of denominators i.e. for 30,96,36 is 1440.

Thus, GCF of Fractions is 1/1440.Finally, GCF of Fractions for 712/30, 267/96, 644/36 is 1/1440.