Greatest Common Factor of 46/31, 95/52, 104/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/31, 95/52, 104/696

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 46/31,95/52,104/696

Given fractions are 46/31,95/52,104/696

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 46,95,104

Greatest Common Factor of Numerators i.e. GCF of 46,95,104 is 1 .

LCM of Denominators means LCM of 31,52,696 as per the given fractions.

LCM of 31,52,696 is 280488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,95,104

GCF of Fractions 46/31,95/52,104/696 is 1/280488

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

Greatest Common Factor of 46,95,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,95,104 By Matching Biggest Common Factor Method

Factors of 46

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

1,2,23,46

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 46,95,104 . The biggest common factor number is the GCF number.
So the greatest common factor 46,95,104 is 1.

Lets's calculate LCM of 31,52,696

2 31, 52, 696
2 31, 26, 348
31, 13, 174

∴ So the LCM of the given numbers is 2 x 2 x 31 x 13 x 174 = 280488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280488

Therefore, the GCF of Fractions 46/31,95/52,104/696 is 1/280488

Least Common Multiple of 31,52,696 with GCF Formula

Least Common Multiple of 31,52,696 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 31,52,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,52,696) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(31,52,696) x common factors =1 x 4 = 4

LCM(31,52,696) = ( 31 × 52 × 696 ) / 4

LCM(31,52,696) = 1121952 / 4

LCM(31,52,696) = 280488


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 46/31, 95/52, 104/696

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 46/31, 95/52, 104/696?

Answer: GCF of Numerators as per given numbers 46/31, 95/52, 104/696 is

GCF of Numerators i.e. for 46,95,104 is 1

LCM of denominators i.e. for 31,52,696 is 280488.

Thus, GCF of Fractions is 1/280488.Finally, GCF of Fractions for 46/31, 95/52, 104/696 is 1/280488.