Greatest Common Factor of 6492/353, 4684/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6492/353, 4684/520

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 6492/353,4684/520

Given fractions are 6492/353,4684/520

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 6492,4684

Greatest Common Factor of Numerators i.e. GCF of 6492,4684 is 4 .

LCM of Denominators means LCM of 353,520 as per the given fractions.

LCM of 353,520 is 183560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6492,4684

GCF of Fractions 6492/353,4684/520 is 4/183560

2 6492, 4684
2 3246, 2342
1623, 1171

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6492,4684 By Matching Biggest Common Factor Method

Greatest Common Factor of 6492,4684 By Matching Biggest Common Factor Method

Factors of 6492

List of positive integer factors of 6492 that divides 6492 without a remainder.

1,2,3,4,6,12,541,1082,1623,2164,3246,6492

Factors of 4684

List of positive integer factors of 4684 that divides 4684 without a remainder.

1,2,4,1171,2342,4684

Greatest Common Factor

We found the factors 6492,4684 . The biggest common factor number is the GCF number.
So the greatest common factor 6492,4684 is 4.

Lets's calculate LCM of 353,520

Given numbers has no common factors except 1. So, there LCM is their product i.e 183560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/183560

Therefore, the GCF of Fractions 6492/353,4684/520 is 4/183560

Least Common Multiple of 353,520 with GCF Formula

Least Common Multiple of 353,520 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 353,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,520) = 1

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

GCF(353,520) x common factors =1 x 1 = 1

LCM(353,520) = ( 353 × 520 ) / 1

LCM(353,520) = 183560 / 1

LCM(353,520) = 183560


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 6492/353, 4684/520

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 6492/353, 4684/520?

Answer: GCF of Numerators as per given numbers 6492/353, 4684/520 is

GCF of Numerators i.e. for 6492,4684 is 4

LCM of denominators i.e. for 353,520 is 183560.

Thus, GCF of Fractions is 4/183560.Finally, GCF of Fractions for 6492/353, 4684/520 is 4/183560.