Greatest Common Factor of 6012/355, 9573/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6012/355, 9573/414

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 6012/355,9573/414

Given fractions are 6012/355,9573/414

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 6012,9573

Greatest Common Factor of Numerators i.e. GCF of 6012,9573 is 3 .

LCM of Denominators means LCM of 355,414 as per the given fractions.

LCM of 355,414 is 146970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6012,9573

GCF of Fractions 6012/355,9573/414 is 3/146970

3 6012, 9573
2004, 3191

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

Greatest Common Factor of 6012,9573 By Matching Biggest Common Factor Method

Greatest Common Factor of 6012,9573 By Matching Biggest Common Factor Method

Factors of 6012

List of positive integer factors of 6012 that divides 6012 without a remainder.

1,2,3,4,6,9,12,18,36,167,334,501,668,1002,1503,2004,3006,6012

Factors of 9573

List of positive integer factors of 9573 that divides 9573 without a remainder.

1,3,3191,9573

Greatest Common Factor

We found the factors 6012,9573 . The biggest common factor number is the GCF number.
So the greatest common factor 6012,9573 is 3.

Lets's calculate LCM of 355,414

Given numbers has no common factors except 1. So, there LCM is their product i.e 146970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/146970

Therefore, the GCF of Fractions 6012/355,9573/414 is 3/146970

Least Common Multiple of 355,414 with GCF Formula

Least Common Multiple of 355,414 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 355,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,414) = 1

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

GCF(355,414) x common factors =1 x 1 = 1

LCM(355,414) = ( 355 × 414 ) / 1

LCM(355,414) = 146970 / 1

LCM(355,414) = 146970


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 6012/355, 9573/414

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 6012/355, 9573/414?

Answer: GCF of Numerators as per given numbers 6012/355, 9573/414 is

GCF of Numerators i.e. for 6012,9573 is 3

LCM of denominators i.e. for 355,414 is 146970.

Thus, GCF of Fractions is 3/146970.Finally, GCF of Fractions for 6012/355, 9573/414 is 3/146970.