Greatest Common Factor of 2136/106, 3709/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2136/106, 3709/644

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 2136/106,3709/644

Given fractions are 2136/106,3709/644

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 2136,3709

Greatest Common Factor of Numerators i.e. GCF of 2136,3709 is 1 .

LCM of Denominators means LCM of 106,644 as per the given fractions.

LCM of 106,644 is 34132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2136,3709

GCF of Fractions 2136/106,3709/644 is 1/34132

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

Greatest Common Factor of 2136,3709 By Matching Biggest Common Factor Method

Greatest Common Factor of 2136,3709 By Matching Biggest Common Factor Method

Factors of 2136

List of positive integer factors of 2136 that divides 2136 without a remainder.

1,2,3,4,6,8,12,24,89,178,267,356,534,712,1068,2136

Factors of 3709

List of positive integer factors of 3709 that divides 3709 without a remainder.

1,3709

Greatest Common Factor

We found the factors 2136,3709 . The biggest common factor number is the GCF number.
So the greatest common factor 2136,3709 is 1.

Lets's calculate LCM of 106,644

2 106, 644
53, 322

∴ So the LCM of the given numbers is 2 x 53 x 322 = 34132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34132

Therefore, the GCF of Fractions 2136/106,3709/644 is 1/34132

Least Common Multiple of 106,644 with GCF Formula

Least Common Multiple of 106,644 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 106,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,644) = 2

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

GCF(106,644) x common factors =2 x 1 = 2

LCM(106,644) = ( 106 × 644 ) / 2

LCM(106,644) = 68264 / 2

LCM(106,644) = 34132


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 2136/106, 3709/644

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 2136/106, 3709/644?

Answer: GCF of Numerators as per given numbers 2136/106, 3709/644 is

GCF of Numerators i.e. for 2136,3709 is 1

LCM of denominators i.e. for 106,644 is 34132.

Thus, GCF of Fractions is 1/34132.Finally, GCF of Fractions for 2136/106, 3709/644 is 1/34132.