Greatest Common Factor of 1516/552, 6729/3495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1516/552, 6729/3495

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 1516/552,6729/3495

Given fractions are 1516/552,6729/3495

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 1516,6729

Greatest Common Factor of Numerators i.e. GCF of 1516,6729 is 1 .

LCM of Denominators means LCM of 552,3495 as per the given fractions.

LCM of 552,3495 is 643080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1516,6729

GCF of Fractions 1516/552,6729/3495 is 1/643080

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

Greatest Common Factor of 1516,6729 By Matching Biggest Common Factor Method

Greatest Common Factor of 1516,6729 By Matching Biggest Common Factor Method

Factors of 1516

List of positive integer factors of 1516 that divides 1516 without a remainder.

1,2,4,379,758,1516

Factors of 6729

List of positive integer factors of 6729 that divides 6729 without a remainder.

1,3,2243,6729

Greatest Common Factor

We found the factors 1516,6729 . The biggest common factor number is the GCF number.
So the greatest common factor 1516,6729 is 1.

Lets's calculate LCM of 552,3495

3 552, 3495
184, 1165

∴ So the LCM of the given numbers is 3 x 184 x 1165 = 643080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/643080

Therefore, the GCF of Fractions 1516/552,6729/3495 is 1/643080

Least Common Multiple of 552,3495 with GCF Formula

Least Common Multiple of 552,3495 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 552,3495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,3495) = 3

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

GCF(552,3495) x common factors =3 x 1 = 3

LCM(552,3495) = ( 552 × 3495 ) / 3

LCM(552,3495) = 1929240 / 3

LCM(552,3495) = 643080


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 1516/552, 6729/3495

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 1516/552, 6729/3495?

Answer: GCF of Numerators as per given numbers 1516/552, 6729/3495 is

GCF of Numerators i.e. for 1516,6729 is 1

LCM of denominators i.e. for 552,3495 is 643080.

Thus, GCF of Fractions is 1/643080.Finally, GCF of Fractions for 1516/552, 6729/3495 is 1/643080.