Greatest Common Factor of 3141/510, 9051/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3141/510, 9051/186

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 3141/510,9051/186

Given fractions are 3141/510,9051/186

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 3141,9051

Greatest Common Factor of Numerators i.e. GCF of 3141,9051 is 3 .

LCM of Denominators means LCM of 510,186 as per the given fractions.

LCM of 510,186 is 15810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3141,9051

GCF of Fractions 3141/510,9051/186 is 3/15810

3 3141, 9051
1047, 3017

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

Greatest Common Factor of 3141,9051 By Matching Biggest Common Factor Method

Greatest Common Factor of 3141,9051 By Matching Biggest Common Factor Method

Factors of 3141

List of positive integer factors of 3141 that divides 3141 without a remainder.

1,3,9,349,1047,3141

Factors of 9051

List of positive integer factors of 9051 that divides 9051 without a remainder.

1,3,7,21,431,1293,3017,9051

Greatest Common Factor

We found the factors 3141,9051 . The biggest common factor number is the GCF number.
So the greatest common factor 3141,9051 is 3.

Lets's calculate LCM of 510,186

2 510, 186
3 255, 93
85, 31

∴ So the LCM of the given numbers is 2 x 3 x 85 x 31 = 15810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15810

Therefore, the GCF of Fractions 3141/510,9051/186 is 3/15810

Least Common Multiple of 510,186 with GCF Formula

Least Common Multiple of 510,186 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 510,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,186) = 6

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

GCF(510,186) x common factors =6 x 1 = 6

LCM(510,186) = ( 510 × 186 ) / 6

LCM(510,186) = 94860 / 6

LCM(510,186) = 15810


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 3141/510, 9051/186

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 3141/510, 9051/186?

Answer: GCF of Numerators as per given numbers 3141/510, 9051/186 is

GCF of Numerators i.e. for 3141,9051 is 3

LCM of denominators i.e. for 510,186 is 15810.

Thus, GCF of Fractions is 3/15810.Finally, GCF of Fractions for 3141/510, 9051/186 is 3/15810.