Greatest Common Factor of 518/36, 4508/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 518/36, 4508/782

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 518/36,4508/782

Given fractions are 518/36,4508/782

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 518,4508

Greatest Common Factor of Numerators i.e. GCF of 518,4508 is 14 .

LCM of Denominators means LCM of 36,782 as per the given fractions.

LCM of 36,782 is 14076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 518,4508

GCF of Fractions 518/36,4508/782 is 14/14076

2 518, 4508
7 259, 2254
37, 322

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 518,4508 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,4508 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 4508

List of positive integer factors of 4508 that divides 4508 without a remainder.

1,2,4,7,14,23,28,46,49,92,98,161,196,322,644,1127,2254,4508

Greatest Common Factor

We found the factors 518,4508 . The biggest common factor number is the GCF number.
So the greatest common factor 518,4508 is 14.


Lets's calculate LCM of 36,782

2 36, 782
18, 391

∴ So the LCM of the given numbers is 2 x 18 x 391 = 14076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/14076

Therefore, the GCF of Fractions 518/36,4508/782 is 14/14076

Least Common Multiple of 36,782 with GCF Formula

Least Common Multiple of 36,782 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 36,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,782) = 2

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

GCF(36,782) x common factors =2 x 1 = 2

LCM(36,782) = ( 36 × 782 ) / 2

LCM(36,782) = 28152 / 2

LCM(36,782) = 14076


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 518/36, 4508/782

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 518/36, 4508/782?

Answer: GCF of Numerators as per given numbers 518/36, 4508/782 is

GCF of Numerators i.e. for 518,4508 is 14

LCM of denominators i.e. for 36,782 is 14076.

Thus, GCF of Fractions is 14/14076.Finally, GCF of Fractions for 518/36, 4508/782 is 14/14076.