Greatest Common Factor of 6758/520, 6602/8246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6758/520, 6602/8246

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 6758/520,6602/8246

Given fractions are 6758/520,6602/8246

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 6758,6602

Greatest Common Factor of Numerators i.e. GCF of 6758,6602 is 2 .

LCM of Denominators means LCM of 520,8246 as per the given fractions.

LCM of 520,8246 is 2143960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6758,6602

GCF of Fractions 6758/520,6602/8246 is 2/2143960

2 6758, 6602
3379, 3301

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

Greatest Common Factor of 6758,6602 By Matching Biggest Common Factor Method

Greatest Common Factor of 6758,6602 By Matching Biggest Common Factor Method

Factors of 6758

List of positive integer factors of 6758 that divides 6758 without a remainder.

1,2,31,62,109,218,3379,6758

Factors of 6602

List of positive integer factors of 6602 that divides 6602 without a remainder.

1,2,3301,6602

Greatest Common Factor

We found the factors 6758,6602 . The biggest common factor number is the GCF number.
So the greatest common factor 6758,6602 is 2.

Lets's calculate LCM of 520,8246

2 520, 8246
260, 4123

∴ So the LCM of the given numbers is 2 x 260 x 4123 = 2143960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2143960

Therefore, the GCF of Fractions 6758/520,6602/8246 is 2/2143960

Least Common Multiple of 520,8246 with GCF Formula

Least Common Multiple of 520,8246 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 520,8246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,8246) = 2

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

GCF(520,8246) x common factors =2 x 1 = 2

LCM(520,8246) = ( 520 × 8246 ) / 2

LCM(520,8246) = 4287920 / 2

LCM(520,8246) = 2143960


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 6758/520, 6602/8246

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 6758/520, 6602/8246?

Answer: GCF of Numerators as per given numbers 6758/520, 6602/8246 is

GCF of Numerators i.e. for 6758,6602 is 2

LCM of denominators i.e. for 520,8246 is 2143960.

Thus, GCF of Fractions is 2/2143960.Finally, GCF of Fractions for 6758/520, 6602/8246 is 2/2143960.