Greatest Common Factor of 1482/502, 8126/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1482/502, 8126/686

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 1482/502,8126/686

Given fractions are 1482/502,8126/686

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 1482,8126

Greatest Common Factor of Numerators i.e. GCF of 1482,8126 is 2 .

LCM of Denominators means LCM of 502,686 as per the given fractions.

LCM of 502,686 is 172186 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1482,8126

GCF of Fractions 1482/502,8126/686 is 2/172186

2 1482, 8126
741, 4063

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

Greatest Common Factor of 1482,8126 By Matching Biggest Common Factor Method

Greatest Common Factor of 1482,8126 By Matching Biggest Common Factor Method

Factors of 1482

List of positive integer factors of 1482 that divides 1482 without a remainder.

1,2,3,6,13,19,26,38,39,57,78,114,247,494,741,1482

Factors of 8126

List of positive integer factors of 8126 that divides 8126 without a remainder.

1,2,17,34,239,478,4063,8126

Greatest Common Factor

We found the factors 1482,8126 . The biggest common factor number is the GCF number.
So the greatest common factor 1482,8126 is 2.

Lets's calculate LCM of 502,686

2 502, 686
251, 343

∴ So the LCM of the given numbers is 2 x 251 x 343 = 172186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/172186

Therefore, the GCF of Fractions 1482/502,8126/686 is 2/172186

Least Common Multiple of 502,686 with GCF Formula

Least Common Multiple of 502,686 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 502,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,686) = 2

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

GCF(502,686) x common factors =2 x 1 = 2

LCM(502,686) = ( 502 × 686 ) / 2

LCM(502,686) = 344372 / 2

LCM(502,686) = 172186


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 1482/502, 8126/686

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 1482/502, 8126/686?

Answer: GCF of Numerators as per given numbers 1482/502, 8126/686 is

GCF of Numerators i.e. for 1482,8126 is 2

LCM of denominators i.e. for 502,686 is 172186.

Thus, GCF of Fractions is 2/172186.Finally, GCF of Fractions for 1482/502, 8126/686 is 2/172186.