Greatest Common Factor of 31/749, 74/717, 110/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/749, 74/717, 110/163

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 31/749,74/717,110/163

Given fractions are 31/749,74/717,110/163

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 31,74,110

Greatest Common Factor of Numerators i.e. GCF of 31,74,110 is 1 .

LCM of Denominators means LCM of 749,717,163 as per the given fractions.

LCM of 749,717,163 is 87536379 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,74,110

GCF of Fractions 31/749,74/717,110/163 is 1/87536379

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

Greatest Common Factor of 31,74,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,74,110 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 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 31,74,110 . The biggest common factor number is the GCF number.
So the greatest common factor 31,74,110 is 1.

Lets's calculate LCM of 749,717,163

Given numbers has no common factors except 1. So, there LCM is their product i.e 87536379

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87536379

Therefore, the GCF of Fractions 31/749,74/717,110/163 is 1/87536379

Least Common Multiple of 749,717,163 with GCF Formula

Least Common Multiple of 749,717,163 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 749,717,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,717,163) = 1

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

GCF(749,717,163) x common factors =1 x 1 = 1

LCM(749,717,163) = ( 749 × 717 × 163 ) / 1

LCM(749,717,163) = 87536379 / 1

LCM(749,717,163) = 87536379


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 31/749, 74/717, 110/163

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 31/749, 74/717, 110/163?

Answer: GCF of Numerators as per given numbers 31/749, 74/717, 110/163 is

GCF of Numerators i.e. for 31,74,110 is 1

LCM of denominators i.e. for 749,717,163 is 87536379.

Thus, GCF of Fractions is 1/87536379.Finally, GCF of Fractions for 31/749, 74/717, 110/163 is 1/87536379.