Greatest Common Factor of 496/10, 296/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 496/10, 296/182

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 496/10,296/182

Given fractions are 496/10,296/182

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 496,296

Greatest Common Factor of Numerators i.e. GCF of 496,296 is 8 .

LCM of Denominators means LCM of 10,182 as per the given fractions.

LCM of 10,182 is 910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 496,296

GCF of Fractions 496/10,296/182 is 8/910

2 496, 296
2 248, 148
2 124, 74
62, 37

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 496,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,296 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 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 496,296 . The biggest common factor number is the GCF number.
So the greatest common factor 496,296 is 8.

Lets's calculate LCM of 10,182

2 10, 182
5, 91

∴ So the LCM of the given numbers is 2 x 5 x 91 = 910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/910

Therefore, the GCF of Fractions 496/10,296/182 is 8/910

Least Common Multiple of 10,182 with GCF Formula

Least Common Multiple of 10,182 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 10,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,182) = 2

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

GCF(10,182) x common factors =2 x 1 = 2

LCM(10,182) = ( 10 × 182 ) / 2

LCM(10,182) = 1820 / 2

LCM(10,182) = 910


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 496/10, 296/182

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 496/10, 296/182?

Answer: GCF of Numerators as per given numbers 496/10, 296/182 is

GCF of Numerators i.e. for 496,296 is 8

LCM of denominators i.e. for 10,182 is 910.

Thus, GCF of Fractions is 8/910.Finally, GCF of Fractions for 496/10, 296/182 is 8/910.