Greatest Common Factor of 2117/26, 3742/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2117/26, 3742/549

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 2117/26,3742/549

Given fractions are 2117/26,3742/549

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 2117,3742

Greatest Common Factor of Numerators i.e. GCF of 2117,3742 is 1 .

LCM of Denominators means LCM of 26,549 as per the given fractions.

LCM of 26,549 is 14274 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2117,3742

GCF of Fractions 2117/26,3742/549 is 1/14274

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

Greatest Common Factor of 2117,3742 By Matching Biggest Common Factor Method

Greatest Common Factor of 2117,3742 By Matching Biggest Common Factor Method

Factors of 2117

List of positive integer factors of 2117 that divides 2117 without a remainder.

1,29,73,2117

Factors of 3742

List of positive integer factors of 3742 that divides 3742 without a remainder.

1,2,1871,3742

Greatest Common Factor

We found the factors 2117,3742 . The biggest common factor number is the GCF number.
So the greatest common factor 2117,3742 is 1.

Lets's calculate LCM of 26,549

Given numbers has no common factors except 1. So, there LCM is their product i.e 14274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14274

Therefore, the GCF of Fractions 2117/26,3742/549 is 1/14274

Least Common Multiple of 26,549 with GCF Formula

Least Common Multiple of 26,549 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 26,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,549) = 1

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

GCF(26,549) x common factors =1 x 1 = 1

LCM(26,549) = ( 26 × 549 ) / 1

LCM(26,549) = 14274 / 1

LCM(26,549) = 14274


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 2117/26, 3742/549

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 2117/26, 3742/549?

Answer: GCF of Numerators as per given numbers 2117/26, 3742/549 is

GCF of Numerators i.e. for 2117,3742 is 1

LCM of denominators i.e. for 26,549 is 14274.

Thus, GCF of Fractions is 1/14274.Finally, GCF of Fractions for 2117/26, 3742/549 is 1/14274.