Greatest Common Factor of 8150/46, 8156/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8150/46, 8156/502

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 8150/46,8156/502

Given fractions are 8150/46,8156/502

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 8150,8156

Greatest Common Factor of Numerators i.e. GCF of 8150,8156 is 2 .

LCM of Denominators means LCM of 46,502 as per the given fractions.

LCM of 46,502 is 11546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8150,8156

GCF of Fractions 8150/46,8156/502 is 2/11546

2 8150, 8156
4075, 4078

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

Greatest Common Factor of 8150,8156 By Matching Biggest Common Factor Method

Greatest Common Factor of 8150,8156 By Matching Biggest Common Factor Method

Factors of 8150

List of positive integer factors of 8150 that divides 8150 without a remainder.

1,2,5,10,25,50,163,326,815,1630,4075,8150

Factors of 8156

List of positive integer factors of 8156 that divides 8156 without a remainder.

1,2,4,2039,4078,8156

Greatest Common Factor

We found the factors 8150,8156 . The biggest common factor number is the GCF number.
So the greatest common factor 8150,8156 is 2.

Lets's calculate LCM of 46,502

2 46, 502
23, 251

∴ So the LCM of the given numbers is 2 x 23 x 251 = 11546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11546

Therefore, the GCF of Fractions 8150/46,8156/502 is 2/11546

Least Common Multiple of 46,502 with GCF Formula

Least Common Multiple of 46,502 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 46,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,502) = 2

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

GCF(46,502) x common factors =2 x 1 = 2

LCM(46,502) = ( 46 × 502 ) / 2

LCM(46,502) = 23092 / 2

LCM(46,502) = 11546


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 8150/46, 8156/502

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 8150/46, 8156/502?

Answer: GCF of Numerators as per given numbers 8150/46, 8156/502 is

GCF of Numerators i.e. for 8150,8156 is 2

LCM of denominators i.e. for 46,502 is 11546.

Thus, GCF of Fractions is 2/11546.Finally, GCF of Fractions for 8150/46, 8156/502 is 2/11546.