Greatest Common Factor of 2546/558, 3050/3294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2546/558, 3050/3294

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 2546/558,3050/3294

Given fractions are 2546/558,3050/3294

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 2546,3050

Greatest Common Factor of Numerators i.e. GCF of 2546,3050 is 2 .

LCM of Denominators means LCM of 558,3294 as per the given fractions.

LCM of 558,3294 is 102114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2546,3050

GCF of Fractions 2546/558,3050/3294 is 2/102114

2 2546, 3050
1273, 1525

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

Greatest Common Factor of 2546,3050 By Matching Biggest Common Factor Method

Greatest Common Factor of 2546,3050 By Matching Biggest Common Factor Method

Factors of 2546

List of positive integer factors of 2546 that divides 2546 without a remainder.

1,2,19,38,67,134,1273,2546

Factors of 3050

List of positive integer factors of 3050 that divides 3050 without a remainder.

1,2,5,10,25,50,61,122,305,610,1525,3050

Greatest Common Factor

We found the factors 2546,3050 . The biggest common factor number is the GCF number.
So the greatest common factor 2546,3050 is 2.

Lets's calculate LCM of 558,3294

2 558, 3294
3 279, 1647
3 93, 549
31, 183

∴ So the LCM of the given numbers is 2 x 3 x 3 x 31 x 183 = 102114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/102114

Therefore, the GCF of Fractions 2546/558,3050/3294 is 2/102114

Least Common Multiple of 558,3294 with GCF Formula

Least Common Multiple of 558,3294 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 558,3294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,3294) = 18

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

GCF(558,3294) x common factors =18 x 1 = 18

LCM(558,3294) = ( 558 × 3294 ) / 18

LCM(558,3294) = 1838052 / 18

LCM(558,3294) = 102114


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 2546/558, 3050/3294

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 2546/558, 3050/3294?

Answer: GCF of Numerators as per given numbers 2546/558, 3050/3294 is

GCF of Numerators i.e. for 2546,3050 is 2

LCM of denominators i.e. for 558,3294 is 102114.

Thus, GCF of Fractions is 2/102114.Finally, GCF of Fractions for 2546/558, 3050/3294 is 2/102114.