Greatest Common Factor of 31/79, 46/86, 747/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/79, 46/86, 747/770

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 31/79,46/86,747/770

Given fractions are 31/79,46/86,747/770

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 31,46,747

Greatest Common Factor of Numerators i.e. GCF of 31,46,747 is 1 .

LCM of Denominators means LCM of 79,86,770 as per the given fractions.

LCM of 79,86,770 is 2615690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,46,747

GCF of Fractions 31/79,46/86,747/770 is 1/2615690

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

Greatest Common Factor of 31,46,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,46,747 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 31,46,747 . The biggest common factor number is the GCF number.
So the greatest common factor 31,46,747 is 1.

Lets's calculate LCM of 79,86,770

2 79, 86, 770
79, 43, 385

∴ So the LCM of the given numbers is 2 x 79 x 43 x 385 = 2615690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2615690

Therefore, the GCF of Fractions 31/79,46/86,747/770 is 1/2615690

Least Common Multiple of 79,86,770 with GCF Formula

Least Common Multiple of 79,86,770 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 79,86,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,86,770) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(79,86,770) x common factors =1 x 2 = 2

LCM(79,86,770) = ( 79 × 86 × 770 ) / 2

LCM(79,86,770) = 5231380 / 2

LCM(79,86,770) = 2615690


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 31/79, 46/86, 747/770

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 31/79, 46/86, 747/770?

Answer: GCF of Numerators as per given numbers 31/79, 46/86, 747/770 is

GCF of Numerators i.e. for 31,46,747 is 1

LCM of denominators i.e. for 79,86,770 is 2615690.

Thus, GCF of Fractions is 1/2615690.Finally, GCF of Fractions for 31/79, 46/86, 747/770 is 1/2615690.