Greatest Common Factor of 622/149, 6531/6555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 622/149, 6531/6555

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 622/149,6531/6555

Given fractions are 622/149,6531/6555

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 622,6531

Greatest Common Factor of Numerators i.e. GCF of 622,6531 is 311 .

LCM of Denominators means LCM of 149,6555 as per the given fractions.

LCM of 149,6555 is 976695 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 622,6531

GCF of Fractions 622/149,6531/6555 is 311/976695

311 622, 6531
2, 21

∴ So the GCF of the given numbers is 311 = 311

Greatest Common Factor of 622,6531 By Matching Biggest Common Factor Method

Greatest Common Factor of 622,6531 By Matching Biggest Common Factor Method

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 6531

List of positive integer factors of 6531 that divides 6531 without a remainder.

1,3,7,21,311,933,2177,6531

Greatest Common Factor

We found the factors 622,6531 . The biggest common factor number is the GCF number.
So the greatest common factor 622,6531 is 311.

Lets's calculate LCM of 149,6555

Given numbers has no common factors except 1. So, there LCM is their product i.e 976695

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 311/976695

Therefore, the GCF of Fractions 622/149,6531/6555 is 311/976695

Least Common Multiple of 149,6555 with GCF Formula

Least Common Multiple of 149,6555 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 149,6555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,6555) = 1

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

GCF(149,6555) x common factors =1 x 1 = 1

LCM(149,6555) = ( 149 × 6555 ) / 1

LCM(149,6555) = 976695 / 1

LCM(149,6555) = 976695


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 622/149, 6531/6555

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 622/149, 6531/6555?

Answer: GCF of Numerators as per given numbers 622/149, 6531/6555 is

GCF of Numerators i.e. for 622,6531 is 311

LCM of denominators i.e. for 149,6555 is 976695.

Thus, GCF of Fractions is 311/976695.Finally, GCF of Fractions for 622/149, 6531/6555 is 311/976695.