Greatest Common Factor of 6436/525, 6658/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6436/525, 6658/613

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 6436/525,6658/613

Given fractions are 6436/525,6658/613

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 6436,6658

Greatest Common Factor of Numerators i.e. GCF of 6436,6658 is 2 .

LCM of Denominators means LCM of 525,613 as per the given fractions.

LCM of 525,613 is 321825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6436,6658

GCF of Fractions 6436/525,6658/613 is 2/321825

2 6436, 6658
3218, 3329

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

Greatest Common Factor of 6436,6658 By Matching Biggest Common Factor Method

Greatest Common Factor of 6436,6658 By Matching Biggest Common Factor Method

Factors of 6436

List of positive integer factors of 6436 that divides 6436 without a remainder.

1,2,4,1609,3218,6436

Factors of 6658

List of positive integer factors of 6658 that divides 6658 without a remainder.

1,2,3329,6658

Greatest Common Factor

We found the factors 6436,6658 . The biggest common factor number is the GCF number.
So the greatest common factor 6436,6658 is 2.

Lets's calculate LCM of 525,613

Given numbers has no common factors except 1. So, there LCM is their product i.e 321825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/321825

Therefore, the GCF of Fractions 6436/525,6658/613 is 2/321825

Least Common Multiple of 525,613 with GCF Formula

Least Common Multiple of 525,613 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 525,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,613) = 1

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

GCF(525,613) x common factors =1 x 1 = 1

LCM(525,613) = ( 525 × 613 ) / 1

LCM(525,613) = 321825 / 1

LCM(525,613) = 321825


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 6436/525, 6658/613

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 6436/525, 6658/613?

Answer: GCF of Numerators as per given numbers 6436/525, 6658/613 is

GCF of Numerators i.e. for 6436,6658 is 2

LCM of denominators i.e. for 525,613 is 321825.

Thus, GCF of Fractions is 2/321825.Finally, GCF of Fractions for 6436/525, 6658/613 is 2/321825.