Greatest Common Factor of 496/454, 7361/4972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 496/454, 7361/4972

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 496/454,7361/4972

Given fractions are 496/454,7361/4972

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 496,7361

Greatest Common Factor of Numerators i.e. GCF of 496,7361 is 1 .

LCM of Denominators means LCM of 454,4972 as per the given fractions.

LCM of 454,4972 is 1128644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 496,7361

GCF of Fractions 496/454,7361/4972 is 1/1128644

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

Greatest Common Factor of 496,7361 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,7361 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 7361

List of positive integer factors of 7361 that divides 7361 without a remainder.

1,17,433,7361

Greatest Common Factor

We found the factors 496,7361 . The biggest common factor number is the GCF number.
So the greatest common factor 496,7361 is 1.

Lets's calculate LCM of 454,4972

2 454, 4972
227, 2486

∴ So the LCM of the given numbers is 2 x 227 x 2486 = 1128644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1128644

Therefore, the GCF of Fractions 496/454,7361/4972 is 1/1128644

Least Common Multiple of 454,4972 with GCF Formula

Least Common Multiple of 454,4972 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 454,4972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,4972) = 2

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

GCF(454,4972) x common factors =2 x 1 = 2

LCM(454,4972) = ( 454 × 4972 ) / 2

LCM(454,4972) = 2257288 / 2

LCM(454,4972) = 1128644


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 496/454, 7361/4972

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 496/454, 7361/4972?

Answer: GCF of Numerators as per given numbers 496/454, 7361/4972 is

GCF of Numerators i.e. for 496,7361 is 1

LCM of denominators i.e. for 454,4972 is 1128644.

Thus, GCF of Fractions is 1/1128644.Finally, GCF of Fractions for 496/454, 7361/4972 is 1/1128644.