Greatest Common Factor of 6502/526, 3516/8936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6502/526, 3516/8936

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 6502/526,3516/8936

Given fractions are 6502/526,3516/8936

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 6502,3516

Greatest Common Factor of Numerators i.e. GCF of 6502,3516 is 2 .

LCM of Denominators means LCM of 526,8936 as per the given fractions.

LCM of 526,8936 is 2350168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6502,3516

GCF of Fractions 6502/526,3516/8936 is 2/2350168

2 6502, 3516
3251, 1758

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

Greatest Common Factor of 6502,3516 By Matching Biggest Common Factor Method

Greatest Common Factor of 6502,3516 By Matching Biggest Common Factor Method

Factors of 6502

List of positive integer factors of 6502 that divides 6502 without a remainder.

1,2,3251,6502

Factors of 3516

List of positive integer factors of 3516 that divides 3516 without a remainder.

1,2,3,4,6,12,293,586,879,1172,1758,3516

Greatest Common Factor

We found the factors 6502,3516 . The biggest common factor number is the GCF number.
So the greatest common factor 6502,3516 is 2.

Lets's calculate LCM of 526,8936

2 526, 8936
263, 4468

∴ So the LCM of the given numbers is 2 x 263 x 4468 = 2350168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2350168

Therefore, the GCF of Fractions 6502/526,3516/8936 is 2/2350168

Least Common Multiple of 526,8936 with GCF Formula

Least Common Multiple of 526,8936 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 526,8936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,8936) = 2

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

GCF(526,8936) x common factors =2 x 1 = 2

LCM(526,8936) = ( 526 × 8936 ) / 2

LCM(526,8936) = 4700336 / 2

LCM(526,8936) = 2350168


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 6502/526, 3516/8936

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 6502/526, 3516/8936?

Answer: GCF of Numerators as per given numbers 6502/526, 3516/8936 is

GCF of Numerators i.e. for 6502,3516 is 2

LCM of denominators i.e. for 526,8936 is 2350168.

Thus, GCF of Fractions is 2/2350168.Finally, GCF of Fractions for 6502/526, 3516/8936 is 2/2350168.