Greatest Common Factor of 954/478, 3388/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 954/478, 3388/315

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 954/478,3388/315

Given fractions are 954/478,3388/315

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 954,3388

Greatest Common Factor of Numerators i.e. GCF of 954,3388 is 2 .

LCM of Denominators means LCM of 478,315 as per the given fractions.

LCM of 478,315 is 150570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 954,3388

GCF of Fractions 954/478,3388/315 is 2/150570

2 954, 3388
477, 1694

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 954,3388 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,3388 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 3388

List of positive integer factors of 3388 that divides 3388 without a remainder.

1,2,4,7,11,14,22,28,44,77,121,154,242,308,484,847,1694,3388

Greatest Common Factor

We found the factors 954,3388 . The biggest common factor number is the GCF number.
So the greatest common factor 954,3388 is 2.

Lets's calculate LCM of 478,315

Given numbers has no common factors except 1. So, there LCM is their product i.e 150570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/150570

Therefore, the GCF of Fractions 954/478,3388/315 is 2/150570

Least Common Multiple of 478,315 with GCF Formula

Least Common Multiple of 478,315 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 478,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,315) = 1

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

GCF(478,315) x common factors =1 x 1 = 1

LCM(478,315) = ( 478 × 315 ) / 1

LCM(478,315) = 150570 / 1

LCM(478,315) = 150570


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 954/478, 3388/315

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 954/478, 3388/315?

Answer: GCF of Numerators as per given numbers 954/478, 3388/315 is

GCF of Numerators i.e. for 954,3388 is 2

LCM of denominators i.e. for 478,315 is 150570.

Thus, GCF of Fractions is 2/150570.Finally, GCF of Fractions for 954/478, 3388/315 is 2/150570.