Greatest Common Factor of 6733/650, 1646/7652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6733/650, 1646/7652

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 6733/650,1646/7652

Given fractions are 6733/650,1646/7652

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 6733,1646

Greatest Common Factor of Numerators i.e. GCF of 6733,1646 is 1 .

LCM of Denominators means LCM of 650,7652 as per the given fractions.

LCM of 650,7652 is 2486900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6733,1646

GCF of Fractions 6733/650,1646/7652 is 1/2486900

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

Greatest Common Factor of 6733,1646 By Matching Biggest Common Factor Method

Greatest Common Factor of 6733,1646 By Matching Biggest Common Factor Method

Factors of 6733

List of positive integer factors of 6733 that divides 6733 without a remainder.

1,6733

Factors of 1646

List of positive integer factors of 1646 that divides 1646 without a remainder.

1,2,823,1646

Greatest Common Factor

We found the factors 6733,1646 . The biggest common factor number is the GCF number.
So the greatest common factor 6733,1646 is 1.

Lets's calculate LCM of 650,7652

2 650, 7652
325, 3826

∴ So the LCM of the given numbers is 2 x 325 x 3826 = 2486900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2486900

Therefore, the GCF of Fractions 6733/650,1646/7652 is 1/2486900

Least Common Multiple of 650,7652 with GCF Formula

Least Common Multiple of 650,7652 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 650,7652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,7652) = 2

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

GCF(650,7652) x common factors =2 x 1 = 2

LCM(650,7652) = ( 650 × 7652 ) / 2

LCM(650,7652) = 4973800 / 2

LCM(650,7652) = 2486900


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 6733/650, 1646/7652

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 6733/650, 1646/7652?

Answer: GCF of Numerators as per given numbers 6733/650, 1646/7652 is

GCF of Numerators i.e. for 6733,1646 is 1

LCM of denominators i.e. for 650,7652 is 2486900.

Thus, GCF of Fractions is 1/2486900.Finally, GCF of Fractions for 6733/650, 1646/7652 is 1/2486900.