Greatest Common Factor of 954/295, 369/284, 313/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 954/295, 369/284, 313/657

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 954/295,369/284,313/657

Given fractions are 954/295,369/284,313/657

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 954,369,313

Greatest Common Factor of Numerators i.e. GCF of 954,369,313 is 1 .

LCM of Denominators means LCM of 295,284,657 as per the given fractions.

LCM of 295,284,657 is 55043460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 954,369,313

GCF of Fractions 954/295,369/284,313/657 is 1/55043460

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 954,369,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,369,313 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 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 954,369,313 . The biggest common factor number is the GCF number.
So the greatest common factor 954,369,313 is 1.

Lets's calculate LCM of 295,284,657

Given numbers has no common factors except 1. So, there LCM is their product i.e 55043460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55043460

Therefore, the GCF of Fractions 954/295,369/284,313/657 is 1/55043460

Least Common Multiple of 295,284,657 with GCF Formula

Least Common Multiple of 295,284,657 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 295,284,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,284,657) = 1

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

GCF(295,284,657) x common factors =1 x 1 = 1

LCM(295,284,657) = ( 295 × 284 × 657 ) / 1

LCM(295,284,657) = 55043460 / 1

LCM(295,284,657) = 55043460


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 954/295, 369/284, 313/657

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 954/295, 369/284, 313/657?

Answer: GCF of Numerators as per given numbers 954/295, 369/284, 313/657 is

GCF of Numerators i.e. for 954,369,313 is 1

LCM of denominators i.e. for 295,284,657 is 55043460.

Thus, GCF of Fractions is 1/55043460.Finally, GCF of Fractions for 954/295, 369/284, 313/657 is 1/55043460.