Greatest Common Factor of 954/334, 6369/4821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 954/334, 6369/4821

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 954/334,6369/4821

Given fractions are 954/334,6369/4821

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 954,6369

Greatest Common Factor of Numerators i.e. GCF of 954,6369 is 3 .

LCM of Denominators means LCM of 334,4821 as per the given fractions.

LCM of 334,4821 is 1610214 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 954,6369

GCF of Fractions 954/334,6369/4821 is 3/1610214

3 954, 6369
318, 2123

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

Greatest Common Factor of 954,6369 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,6369 By Matching Biggest Common Factor Method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 6369

List of positive integer factors of 6369 that divides 6369 without a remainder.

1,3,11,33,193,579,2123,6369

Greatest Common Factor

We found the factors 954,6369 . The biggest common factor number is the GCF number.
So the greatest common factor 954,6369 is 3.

Lets's calculate LCM of 334,4821

Given numbers has no common factors except 1. So, there LCM is their product i.e 1610214

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1610214

Therefore, the GCF of Fractions 954/334,6369/4821 is 3/1610214

Least Common Multiple of 334,4821 with GCF Formula

Least Common Multiple of 334,4821 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 334,4821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,4821) = 1

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

GCF(334,4821) x common factors =1 x 1 = 1

LCM(334,4821) = ( 334 × 4821 ) / 1

LCM(334,4821) = 1610214 / 1

LCM(334,4821) = 1610214


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 954/334, 6369/4821

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 954/334, 6369/4821?

Answer: GCF of Numerators as per given numbers 954/334, 6369/4821 is

GCF of Numerators i.e. for 954,6369 is 3

LCM of denominators i.e. for 334,4821 is 1610214.

Thus, GCF of Fractions is 3/1610214.Finally, GCF of Fractions for 954/334, 6369/4821 is 3/1610214.