Greatest Common Factor of 2743/37, 2216/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2743/37, 2216/178

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 2743/37,2216/178

Given fractions are 2743/37,2216/178

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 2743,2216

Greatest Common Factor of Numerators i.e. GCF of 2743,2216 is 1 .

LCM of Denominators means LCM of 37,178 as per the given fractions.

LCM of 37,178 is 6586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2743,2216

GCF of Fractions 2743/37,2216/178 is 1/6586

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

Greatest Common Factor of 2743,2216 By Matching Biggest Common Factor Method

Greatest Common Factor of 2743,2216 By Matching Biggest Common Factor Method

Factors of 2743

List of positive integer factors of 2743 that divides 2743 without a remainder.

1,13,211,2743

Factors of 2216

List of positive integer factors of 2216 that divides 2216 without a remainder.

1,2,4,8,277,554,1108,2216

Greatest Common Factor

We found the factors 2743,2216 . The biggest common factor number is the GCF number.
So the greatest common factor 2743,2216 is 1.

Lets's calculate LCM of 37,178

Given numbers has no common factors except 1. So, there LCM is their product i.e 6586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6586

Therefore, the GCF of Fractions 2743/37,2216/178 is 1/6586

Least Common Multiple of 37,178 with GCF Formula

Least Common Multiple of 37,178 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 37,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,178) = 1

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

GCF(37,178) x common factors =1 x 1 = 1

LCM(37,178) = ( 37 × 178 ) / 1

LCM(37,178) = 6586 / 1

LCM(37,178) = 6586


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 2743/37, 2216/178

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 2743/37, 2216/178?

Answer: GCF of Numerators as per given numbers 2743/37, 2216/178 is

GCF of Numerators i.e. for 2743,2216 is 1

LCM of denominators i.e. for 37,178 is 6586.

Thus, GCF of Fractions is 1/6586.Finally, GCF of Fractions for 2743/37, 2216/178 is 1/6586.