Greatest Common Factor of 507/828, 182/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 507/828, 182/874

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 507/828,182/874

Given fractions are 507/828,182/874

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 507,182

Greatest Common Factor of Numerators i.e. GCF of 507,182 is 13 .

LCM of Denominators means LCM of 828,874 as per the given fractions.

LCM of 828,874 is 15732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 507,182

GCF of Fractions 507/828,182/874 is 13/15732

13 507, 182
39, 14

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 507,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,182 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 507,182 . The biggest common factor number is the GCF number.
So the greatest common factor 507,182 is 13.

Lets's calculate LCM of 828,874

2 828, 874
23 414, 437
18, 19

∴ So the LCM of the given numbers is 2 x 23 x 18 x 19 = 15732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/15732

Therefore, the GCF of Fractions 507/828,182/874 is 13/15732

Least Common Multiple of 828,874 with GCF Formula

Least Common Multiple of 828,874 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 828,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,874) = 46

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

GCF(828,874) x common factors =46 x 1 = 46

LCM(828,874) = ( 828 × 874 ) / 46

LCM(828,874) = 723672 / 46

LCM(828,874) = 15732


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 507/828, 182/874

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 507/828, 182/874?

Answer: GCF of Numerators as per given numbers 507/828, 182/874 is

GCF of Numerators i.e. for 507,182 is 13

LCM of denominators i.e. for 828,874 is 15732.

Thus, GCF of Fractions is 13/15732.Finally, GCF of Fractions for 507/828, 182/874 is 13/15732.