Greatest Common Factor of 72/39, 77/126, 670/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/39, 77/126, 670/357

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 72/39,77/126,670/357

Given fractions are 72/39,77/126,670/357

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 72,77,670

Greatest Common Factor of Numerators i.e. GCF of 72,77,670 is 1 .

LCM of Denominators means LCM of 39,126,357 as per the given fractions.

LCM of 39,126,357 is 27846 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,77,670

GCF of Fractions 72/39,77/126,670/357 is 1/27846

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

Greatest Common Factor of 72,77,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,77,670 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 670

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

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

Greatest Common Factor

We found the factors 72,77,670 . The biggest common factor number is the GCF number.
So the greatest common factor 72,77,670 is 1.

Lets's calculate LCM of 39,126,357

3 39, 126, 357
7 13, 42, 119
13, 6, 17

∴ So the LCM of the given numbers is 3 x 7 x 13 x 6 x 17 = 27846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27846

Therefore, the GCF of Fractions 72/39,77/126,670/357 is 1/27846

Least Common Multiple of 39,126,357 with GCF Formula

Least Common Multiple of 39,126,357 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 39,126,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,126,357) = 3

common factors(in case of two or more numbers have common factors) = 21

GCF(39,126,357) x common factors =3 x 21 = 63

LCM(39,126,357) = ( 39 × 126 × 357 ) / 63

LCM(39,126,357) = 1754298 / 63

LCM(39,126,357) = 27846


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 72/39, 77/126, 670/357

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 72/39, 77/126, 670/357?

Answer: GCF of Numerators as per given numbers 72/39, 77/126, 670/357 is

GCF of Numerators i.e. for 72,77,670 is 1

LCM of denominators i.e. for 39,126,357 is 27846.

Thus, GCF of Fractions is 1/27846.Finally, GCF of Fractions for 72/39, 77/126, 670/357 is 1/27846.