Greatest Common Factor of 147/314, 3771/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 147/314, 3771/971

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 147/314,3771/971

Given fractions are 147/314,3771/971

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 147,3771

Greatest Common Factor of Numerators i.e. GCF of 147,3771 is 3 .

LCM of Denominators means LCM of 314,971 as per the given fractions.

LCM of 314,971 is 304894 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 147,3771

GCF of Fractions 147/314,3771/971 is 3/304894

3 147, 3771
49, 1257

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

Greatest Common Factor of 147,3771 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,3771 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 3771

List of positive integer factors of 3771 that divides 3771 without a remainder.

1,3,9,419,1257,3771

Greatest Common Factor

We found the factors 147,3771 . The biggest common factor number is the GCF number.
So the greatest common factor 147,3771 is 3.

Lets's calculate LCM of 314,971

Given numbers has no common factors except 1. So, there LCM is their product i.e 304894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/304894

Therefore, the GCF of Fractions 147/314,3771/971 is 3/304894

Least Common Multiple of 314,971 with GCF Formula

Least Common Multiple of 314,971 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 314,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,971) = 1

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

GCF(314,971) x common factors =1 x 1 = 1

LCM(314,971) = ( 314 × 971 ) / 1

LCM(314,971) = 304894 / 1

LCM(314,971) = 304894


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 147/314, 3771/971

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 147/314, 3771/971?

Answer: GCF of Numerators as per given numbers 147/314, 3771/971 is

GCF of Numerators i.e. for 147,3771 is 3

LCM of denominators i.e. for 314,971 is 304894.

Thus, GCF of Fractions is 3/304894.Finally, GCF of Fractions for 147/314, 3771/971 is 3/304894.