Greatest Common Factor of 607/442, 3978/8112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 607/442, 3978/8112

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 607/442,3978/8112

Given fractions are 607/442,3978/8112

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 607,3978

Greatest Common Factor of Numerators i.e. GCF of 607,3978 is 1 .

LCM of Denominators means LCM of 442,8112 as per the given fractions.

LCM of 442,8112 is 137904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 607,3978

GCF of Fractions 607/442,3978/8112 is 1/137904

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

Greatest Common Factor of 607,3978 By Matching Biggest Common Factor Method

Greatest Common Factor of 607,3978 By Matching Biggest Common Factor Method

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

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

Greatest Common Factor

We found the factors 607,3978 . The biggest common factor number is the GCF number.
So the greatest common factor 607,3978 is 1.

Lets's calculate LCM of 442,8112

2 442, 8112
13 221, 4056
17, 312

∴ So the LCM of the given numbers is 2 x 13 x 17 x 312 = 137904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137904

Therefore, the GCF of Fractions 607/442,3978/8112 is 1/137904

Least Common Multiple of 442,8112 with GCF Formula

Least Common Multiple of 442,8112 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 442,8112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,8112) = 26

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

GCF(442,8112) x common factors =26 x 1 = 26

LCM(442,8112) = ( 442 × 8112 ) / 26

LCM(442,8112) = 3585504 / 26

LCM(442,8112) = 137904


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 607/442, 3978/8112

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 607/442, 3978/8112?

Answer: GCF of Numerators as per given numbers 607/442, 3978/8112 is

GCF of Numerators i.e. for 607,3978 is 1

LCM of denominators i.e. for 442,8112 is 137904.

Thus, GCF of Fractions is 1/137904.Finally, GCF of Fractions for 607/442, 3978/8112 is 1/137904.