Greatest Common Factor of 670/792, 8956/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 670/792, 8956/972

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 670/792,8956/972

Given fractions are 670/792,8956/972

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 670,8956

Greatest Common Factor of Numerators i.e. GCF of 670,8956 is 2 .

LCM of Denominators means LCM of 792,972 as per the given fractions.

LCM of 792,972 is 21384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 670,8956

GCF of Fractions 670/792,8956/972 is 2/21384

2 670, 8956
335, 4478

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 670,8956 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,8956 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 8956

List of positive integer factors of 8956 that divides 8956 without a remainder.

1,2,4,2239,4478,8956

Greatest Common Factor

We found the factors 670,8956 . The biggest common factor number is the GCF number.
So the greatest common factor 670,8956 is 2.

Lets's calculate LCM of 792,972

2 792, 972
2 396, 486
3 198, 243
3 66, 81
22, 27

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 22 x 27 = 21384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21384

Therefore, the GCF of Fractions 670/792,8956/972 is 2/21384

Least Common Multiple of 792,972 with GCF Formula

Least Common Multiple of 792,972 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 792,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,972) = 36

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

GCF(792,972) x common factors =36 x 1 = 36

LCM(792,972) = ( 792 × 972 ) / 36

LCM(792,972) = 769824 / 36

LCM(792,972) = 21384


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 670/792, 8956/972

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 670/792, 8956/972?

Answer: GCF of Numerators as per given numbers 670/792, 8956/972 is

GCF of Numerators i.e. for 670,8956 is 2

LCM of denominators i.e. for 792,972 is 21384.

Thus, GCF of Fractions is 2/21384.Finally, GCF of Fractions for 670/792, 8956/972 is 2/21384.