Greatest Common Factor of 3742/53, 9986/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3742/53, 9986/272

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 3742/53,9986/272

Given fractions are 3742/53,9986/272

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 3742,9986

Greatest Common Factor of Numerators i.e. GCF of 3742,9986 is 2 .

LCM of Denominators means LCM of 53,272 as per the given fractions.

LCM of 53,272 is 14416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3742,9986

GCF of Fractions 3742/53,9986/272 is 2/14416

2 3742, 9986
1871, 4993

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

Greatest Common Factor of 3742,9986 By Matching Biggest Common Factor Method

Greatest Common Factor of 3742,9986 By Matching Biggest Common Factor Method

Factors of 3742

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

1,2,1871,3742

Factors of 9986

List of positive integer factors of 9986 that divides 9986 without a remainder.

1,2,4993,9986

Greatest Common Factor

We found the factors 3742,9986 . The biggest common factor number is the GCF number.
So the greatest common factor 3742,9986 is 2.

Lets's calculate LCM of 53,272

Given numbers has no common factors except 1. So, there LCM is their product i.e 14416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14416

Therefore, the GCF of Fractions 3742/53,9986/272 is 2/14416

Least Common Multiple of 53,272 with GCF Formula

Least Common Multiple of 53,272 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 53,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,272) = 1

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

GCF(53,272) x common factors =1 x 1 = 1

LCM(53,272) = ( 53 × 272 ) / 1

LCM(53,272) = 14416 / 1

LCM(53,272) = 14416


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 3742/53, 9986/272

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 3742/53, 9986/272?

Answer: GCF of Numerators as per given numbers 3742/53, 9986/272 is

GCF of Numerators i.e. for 3742,9986 is 2

LCM of denominators i.e. for 53,272 is 14416.

Thus, GCF of Fractions is 2/14416.Finally, GCF of Fractions for 3742/53, 9986/272 is 2/14416.