Greatest Common Factor of 79/71, 785/37, 710/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 79/71, 785/37, 710/270

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 79/71,785/37,710/270

Given fractions are 79/71,785/37,710/270

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 79,785,710

Greatest Common Factor of Numerators i.e. GCF of 79,785,710 is 1 .

LCM of Denominators means LCM of 71,37,270 as per the given fractions.

LCM of 71,37,270 is 709290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,785,710

GCF of Fractions 79/71,785/37,710/270 is 1/709290

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

Greatest Common Factor of 79,785,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,785,710 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 79,785,710 . The biggest common factor number is the GCF number.
So the greatest common factor 79,785,710 is 1.


Lets's calculate LCM of 71,37,270

Given numbers has no common factors except 1. So, there LCM is their product i.e 709290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/709290

Therefore, the GCF of Fractions 79/71,785/37,710/270 is 1/709290

Least Common Multiple of 71,37,270 with GCF Formula

Least Common Multiple of 71,37,270 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 71,37,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,37,270) = 1

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

GCF(71,37,270) x common factors =1 x 1 = 1

LCM(71,37,270) = ( 71 × 37 × 270 ) / 1

LCM(71,37,270) = 709290 / 1

LCM(71,37,270) = 709290


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 79/71, 785/37, 710/270

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 79/71, 785/37, 710/270?

Answer: GCF of Numerators as per given numbers 79/71, 785/37, 710/270 is

GCF of Numerators i.e. for 79,785,710 is 1

LCM of denominators i.e. for 71,37,270 is 709290.

Thus, GCF of Fractions is 1/709290.Finally, GCF of Fractions for 79/71, 785/37, 710/270 is 1/709290.