Greatest Common Factor of 546/552, 3242/3690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 546/552, 3242/3690

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 546/552,3242/3690

Given fractions are 546/552,3242/3690

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 546,3242

Greatest Common Factor of Numerators i.e. GCF of 546,3242 is 2 .

LCM of Denominators means LCM of 552,3690 as per the given fractions.

LCM of 552,3690 is 339480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 546,3242

GCF of Fractions 546/552,3242/3690 is 2/339480

2 546, 3242
273, 1621

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

Greatest Common Factor of 546,3242 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,3242 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 3242

List of positive integer factors of 3242 that divides 3242 without a remainder.

1,2,1621,3242

Greatest Common Factor

We found the factors 546,3242 . The biggest common factor number is the GCF number.
So the greatest common factor 546,3242 is 2.

Lets's calculate LCM of 552,3690

2 552, 3690
3 276, 1845
92, 615

∴ So the LCM of the given numbers is 2 x 3 x 92 x 615 = 339480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/339480

Therefore, the GCF of Fractions 546/552,3242/3690 is 2/339480

Least Common Multiple of 552,3690 with GCF Formula

Least Common Multiple of 552,3690 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 552,3690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,3690) = 6

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

GCF(552,3690) x common factors =6 x 1 = 6

LCM(552,3690) = ( 552 × 3690 ) / 6

LCM(552,3690) = 2036880 / 6

LCM(552,3690) = 339480


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 546/552, 3242/3690

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 546/552, 3242/3690?

Answer: GCF of Numerators as per given numbers 546/552, 3242/3690 is

GCF of Numerators i.e. for 546,3242 is 2

LCM of denominators i.e. for 552,3690 is 339480.

Thus, GCF of Fractions is 2/339480.Finally, GCF of Fractions for 546/552, 3242/3690 is 2/339480.