Greatest Common Factor of 1176/607, 4442/2724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1176/607, 4442/2724

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 1176/607,4442/2724

Given fractions are 1176/607,4442/2724

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 1176,4442

Greatest Common Factor of Numerators i.e. GCF of 1176,4442 is 2 .

LCM of Denominators means LCM of 607,2724 as per the given fractions.

LCM of 607,2724 is 1653468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1176,4442

GCF of Fractions 1176/607,4442/2724 is 2/1653468

2 1176, 4442
588, 2221

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

Greatest Common Factor of 1176,4442 By Matching Biggest Common Factor Method

Greatest Common Factor of 1176,4442 By Matching Biggest Common Factor Method

Factors of 1176

List of positive integer factors of 1176 that divides 1176 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,392,588,1176

Factors of 4442

List of positive integer factors of 4442 that divides 4442 without a remainder.

1,2,2221,4442

Greatest Common Factor

We found the factors 1176,4442 . The biggest common factor number is the GCF number.
So the greatest common factor 1176,4442 is 2.

Lets's calculate LCM of 607,2724

Given numbers has no common factors except 1. So, there LCM is their product i.e 1653468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1653468

Therefore, the GCF of Fractions 1176/607,4442/2724 is 2/1653468

Least Common Multiple of 607,2724 with GCF Formula

Least Common Multiple of 607,2724 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 607,2724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,2724) = 1

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

GCF(607,2724) x common factors =1 x 1 = 1

LCM(607,2724) = ( 607 × 2724 ) / 1

LCM(607,2724) = 1653468 / 1

LCM(607,2724) = 1653468


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 1176/607, 4442/2724

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 1176/607, 4442/2724?

Answer: GCF of Numerators as per given numbers 1176/607, 4442/2724 is

GCF of Numerators i.e. for 1176,4442 is 2

LCM of denominators i.e. for 607,2724 is 1653468.

Thus, GCF of Fractions is 2/1653468.Finally, GCF of Fractions for 1176/607, 4442/2724 is 2/1653468.