Greatest Common Factor of 954/460, 3687/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 954/460, 3687/913

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 954/460,3687/913

Given fractions are 954/460,3687/913

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 954,3687

Greatest Common Factor of Numerators i.e. GCF of 954,3687 is 3 .

LCM of Denominators means LCM of 460,913 as per the given fractions.

LCM of 460,913 is 419980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 954,3687

GCF of Fractions 954/460,3687/913 is 3/419980

3 954, 3687
318, 1229

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

Greatest Common Factor of 954,3687 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,3687 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 3687

List of positive integer factors of 3687 that divides 3687 without a remainder.

1,3,1229,3687

Greatest Common Factor

We found the factors 954,3687 . The biggest common factor number is the GCF number.
So the greatest common factor 954,3687 is 3.

Lets's calculate LCM of 460,913

Given numbers has no common factors except 1. So, there LCM is their product i.e 419980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/419980

Therefore, the GCF of Fractions 954/460,3687/913 is 3/419980

Least Common Multiple of 460,913 with GCF Formula

Least Common Multiple of 460,913 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 460,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,913) = 1

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

GCF(460,913) x common factors =1 x 1 = 1

LCM(460,913) = ( 460 × 913 ) / 1

LCM(460,913) = 419980 / 1

LCM(460,913) = 419980


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 954/460, 3687/913

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 954/460, 3687/913?

Answer: GCF of Numerators as per given numbers 954/460, 3687/913 is

GCF of Numerators i.e. for 954,3687 is 3

LCM of denominators i.e. for 460,913 is 419980.

Thus, GCF of Fractions is 3/419980.Finally, GCF of Fractions for 954/460, 3687/913 is 3/419980.