Greatest Common Factor of 3978/476, 1448/4151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3978/476, 1448/4151

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 3978/476,1448/4151

Given fractions are 3978/476,1448/4151

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 3978,1448

Greatest Common Factor of Numerators i.e. GCF of 3978,1448 is 2 .

LCM of Denominators means LCM of 476,4151 as per the given fractions.

LCM of 476,4151 is 282268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3978,1448

GCF of Fractions 3978/476,1448/4151 is 2/282268

2 3978, 1448
1989, 724

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

Greatest Common Factor of 3978,1448 By Matching Biggest Common Factor Method

Greatest Common Factor of 3978,1448 By Matching Biggest Common Factor Method

Factors of 3978

List of positive integer factors of 3978 that divides 3978 without a remainder.

1,2,3,6,9,13,17,18,26,34,39,51,78,102,117,153,221,234,306,442,663,1326,1989,3978

Factors of 1448

List of positive integer factors of 1448 that divides 1448 without a remainder.

1,2,4,8,181,362,724,1448

Greatest Common Factor

We found the factors 3978,1448 . The biggest common factor number is the GCF number.
So the greatest common factor 3978,1448 is 2.

Lets's calculate LCM of 476,4151

7 476, 4151
68, 593

∴ So the LCM of the given numbers is 7 x 68 x 593 = 282268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/282268

Therefore, the GCF of Fractions 3978/476,1448/4151 is 2/282268

Least Common Multiple of 476,4151 with GCF Formula

Least Common Multiple of 476,4151 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 476,4151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,4151) = 7

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

GCF(476,4151) x common factors =7 x 1 = 7

LCM(476,4151) = ( 476 × 4151 ) / 7

LCM(476,4151) = 1975876 / 7

LCM(476,4151) = 282268


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 3978/476, 1448/4151

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 3978/476, 1448/4151?

Answer: GCF of Numerators as per given numbers 3978/476, 1448/4151 is

GCF of Numerators i.e. for 3978,1448 is 2

LCM of denominators i.e. for 476,4151 is 282268.

Thus, GCF of Fractions is 2/282268.Finally, GCF of Fractions for 3978/476, 1448/4151 is 2/282268.