Greatest Common Factor of 513/364, 3291/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 513/364, 3291/986

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 513/364,3291/986

Given fractions are 513/364,3291/986

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 513,3291

Greatest Common Factor of Numerators i.e. GCF of 513,3291 is 3 .

LCM of Denominators means LCM of 364,986 as per the given fractions.

LCM of 364,986 is 179452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 513,3291

GCF of Fractions 513/364,3291/986 is 3/179452

3 513, 3291
171, 1097

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 513,3291 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,3291 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 3291

List of positive integer factors of 3291 that divides 3291 without a remainder.

1,3,1097,3291

Greatest Common Factor

We found the factors 513,3291 . The biggest common factor number is the GCF number.
So the greatest common factor 513,3291 is 3.


Lets's calculate LCM of 364,986

2 364, 986
182, 493

∴ So the LCM of the given numbers is 2 x 182 x 493 = 179452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/179452

Therefore, the GCF of Fractions 513/364,3291/986 is 3/179452

Least Common Multiple of 364,986 with GCF Formula

Least Common Multiple of 364,986 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 364,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,986) = 2

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

GCF(364,986) x common factors =2 x 1 = 2

LCM(364,986) = ( 364 × 986 ) / 2

LCM(364,986) = 358904 / 2

LCM(364,986) = 179452


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 513/364, 3291/986

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 513/364, 3291/986?

Answer: GCF of Numerators as per given numbers 513/364, 3291/986 is

GCF of Numerators i.e. for 513,3291 is 3

LCM of denominators i.e. for 364,986 is 179452.

Thus, GCF of Fractions is 3/179452.Finally, GCF of Fractions for 513/364, 3291/986 is 3/179452.