Greatest Common Factor of 6623/496, 3167/3460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6623/496, 3167/3460

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 6623/496,3167/3460

Given fractions are 6623/496,3167/3460

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 6623,3167

Greatest Common Factor of Numerators i.e. GCF of 6623,3167 is 1 .

LCM of Denominators means LCM of 496,3460 as per the given fractions.

LCM of 496,3460 is 429040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6623,3167

GCF of Fractions 6623/496,3167/3460 is 1/429040

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6623,3167 By Matching Biggest Common Factor Method

Greatest Common Factor of 6623,3167 By Matching Biggest Common Factor Method

Factors of 6623

List of positive integer factors of 6623 that divides 6623 without a remainder.

1,37,179,6623

Factors of 3167

List of positive integer factors of 3167 that divides 3167 without a remainder.

1,3167

Greatest Common Factor

We found the factors 6623,3167 . The biggest common factor number is the GCF number.
So the greatest common factor 6623,3167 is 1.

Lets's calculate LCM of 496,3460

2 496, 3460
2 248, 1730
124, 865

∴ So the LCM of the given numbers is 2 x 2 x 124 x 865 = 429040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429040

Therefore, the GCF of Fractions 6623/496,3167/3460 is 1/429040

Least Common Multiple of 496,3460 with GCF Formula

Least Common Multiple of 496,3460 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 496,3460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,3460) = 4

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

GCF(496,3460) x common factors =4 x 1 = 4

LCM(496,3460) = ( 496 × 3460 ) / 4

LCM(496,3460) = 1716160 / 4

LCM(496,3460) = 429040


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 6623/496, 3167/3460

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 6623/496, 3167/3460?

Answer: GCF of Numerators as per given numbers 6623/496, 3167/3460 is

GCF of Numerators i.e. for 6623,3167 is 1

LCM of denominators i.e. for 496,3460 is 429040.

Thus, GCF of Fractions is 1/429040.Finally, GCF of Fractions for 6623/496, 3167/3460 is 1/429040.