Greatest Common Factor of 6754/635, 1708/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6754/635, 1708/552

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 6754/635,1708/552

Given fractions are 6754/635,1708/552

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 6754,1708

Greatest Common Factor of Numerators i.e. GCF of 6754,1708 is 2 .

LCM of Denominators means LCM of 635,552 as per the given fractions.

LCM of 635,552 is 350520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6754,1708

GCF of Fractions 6754/635,1708/552 is 2/350520

2 6754, 1708
3377, 854

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

Greatest Common Factor of 6754,1708 By Matching Biggest Common Factor Method

Greatest Common Factor of 6754,1708 By Matching Biggest Common Factor Method

Factors of 6754

List of positive integer factors of 6754 that divides 6754 without a remainder.

1,2,11,22,307,614,3377,6754

Factors of 1708

List of positive integer factors of 1708 that divides 1708 without a remainder.

1,2,4,7,14,28,61,122,244,427,854,1708

Greatest Common Factor

We found the factors 6754,1708 . The biggest common factor number is the GCF number.
So the greatest common factor 6754,1708 is 2.

Lets's calculate LCM of 635,552

Given numbers has no common factors except 1. So, there LCM is their product i.e 350520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/350520

Therefore, the GCF of Fractions 6754/635,1708/552 is 2/350520

Least Common Multiple of 635,552 with GCF Formula

Least Common Multiple of 635,552 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 635,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,552) = 1

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

GCF(635,552) x common factors =1 x 1 = 1

LCM(635,552) = ( 635 × 552 ) / 1

LCM(635,552) = 350520 / 1

LCM(635,552) = 350520


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 6754/635, 1708/552

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 6754/635, 1708/552?

Answer: GCF of Numerators as per given numbers 6754/635, 1708/552 is

GCF of Numerators i.e. for 6754,1708 is 2

LCM of denominators i.e. for 635,552 is 350520.

Thus, GCF of Fractions is 2/350520.Finally, GCF of Fractions for 6754/635, 1708/552 is 2/350520.