Greatest Common Factor of 53/926, 356/149, 746/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/926, 356/149, 746/196

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 53/926,356/149,746/196

Given fractions are 53/926,356/149,746/196

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 53,356,746

Greatest Common Factor of Numerators i.e. GCF of 53,356,746 is 1 .

LCM of Denominators means LCM of 926,149,196 as per the given fractions.

LCM of 926,149,196 is 13521452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,356,746

GCF of Fractions 53/926,356/149,746/196 is 1/13521452

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

Greatest Common Factor of 53,356,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,356,746 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 53,356,746 . The biggest common factor number is the GCF number.
So the greatest common factor 53,356,746 is 1.

Lets's calculate LCM of 926,149,196

2 926, 149, 196
463, 149, 98

∴ So the LCM of the given numbers is 2 x 463 x 149 x 98 = 13521452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13521452

Therefore, the GCF of Fractions 53/926,356/149,746/196 is 1/13521452

Least Common Multiple of 926,149,196 with GCF Formula

Least Common Multiple of 926,149,196 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 926,149,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,149,196) = 1

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

GCF(926,149,196) x common factors =1 x 2 = 2

LCM(926,149,196) = ( 926 × 149 × 196 ) / 2

LCM(926,149,196) = 27042904 / 2

LCM(926,149,196) = 13521452


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 53/926, 356/149, 746/196

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 53/926, 356/149, 746/196?

Answer: GCF of Numerators as per given numbers 53/926, 356/149, 746/196 is

GCF of Numerators i.e. for 53,356,746 is 1

LCM of denominators i.e. for 926,149,196 is 13521452.

Thus, GCF of Fractions is 1/13521452.Finally, GCF of Fractions for 53/926, 356/149, 746/196 is 1/13521452.