Greatest Common Factor of 624/262, 135/502, 509/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 624/262, 135/502, 509/182

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 624/262,135/502,509/182

Given fractions are 624/262,135/502,509/182

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 624,135,509

Greatest Common Factor of Numerators i.e. GCF of 624,135,509 is 1 .

LCM of Denominators means LCM of 262,502,182 as per the given fractions.

LCM of 262,502,182 is 5984342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 624,135,509

GCF of Fractions 624/262,135/502,509/182 is 1/5984342

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

Greatest Common Factor of 624,135,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,135,509 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Greatest Common Factor

We found the factors 624,135,509 . The biggest common factor number is the GCF number.
So the greatest common factor 624,135,509 is 1.

Lets's calculate LCM of 262,502,182

2 262, 502, 182
131, 251, 91

∴ So the LCM of the given numbers is 2 x 131 x 251 x 91 = 5984342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5984342

Therefore, the GCF of Fractions 624/262,135/502,509/182 is 1/5984342

Least Common Multiple of 262,502,182 with GCF Formula

Least Common Multiple of 262,502,182 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 262,502,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,502,182) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(262,502,182) x common factors =2 x 2 = 4

LCM(262,502,182) = ( 262 × 502 × 182 ) / 4

LCM(262,502,182) = 23937368 / 4

LCM(262,502,182) = 5984342


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 624/262, 135/502, 509/182

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 624/262, 135/502, 509/182?

Answer: GCF of Numerators as per given numbers 624/262, 135/502, 509/182 is

GCF of Numerators i.e. for 624,135,509 is 1

LCM of denominators i.e. for 262,502,182 is 5984342.

Thus, GCF of Fractions is 1/5984342.Finally, GCF of Fractions for 624/262, 135/502, 509/182 is 1/5984342.