Greatest Common Factor of 791/72, 686/85, 978/179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 791/72, 686/85, 978/179

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 791/72,686/85,978/179

Given fractions are 791/72,686/85,978/179

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 791,686,978

Greatest Common Factor of Numerators i.e. GCF of 791,686,978 is 1 .

LCM of Denominators means LCM of 72,85,179 as per the given fractions.

LCM of 72,85,179 is 1095480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 791,686,978

GCF of Fractions 791/72,686/85,978/179 is 1/1095480

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

Greatest Common Factor of 791,686,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,686,978 By Matching Biggest Common Factor Method

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 791,686,978 . The biggest common factor number is the GCF number.
So the greatest common factor 791,686,978 is 1.

Lets's calculate LCM of 72,85,179

Given numbers has no common factors except 1. So, there LCM is their product i.e 1095480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1095480

Therefore, the GCF of Fractions 791/72,686/85,978/179 is 1/1095480

Least Common Multiple of 72,85,179 with GCF Formula

Least Common Multiple of 72,85,179 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 72,85,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,85,179) = 1

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

GCF(72,85,179) x common factors =1 x 1 = 1

LCM(72,85,179) = ( 72 × 85 × 179 ) / 1

LCM(72,85,179) = 1095480 / 1

LCM(72,85,179) = 1095480


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 791/72, 686/85, 978/179

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 791/72, 686/85, 978/179?

Answer: GCF of Numerators as per given numbers 791/72, 686/85, 978/179 is

GCF of Numerators i.e. for 791,686,978 is 1

LCM of denominators i.e. for 72,85,179 is 1095480.

Thus, GCF of Fractions is 1/1095480.Finally, GCF of Fractions for 791/72, 686/85, 978/179 is 1/1095480.