Greatest Common Factor of 1686/64, 2648/179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1686/64, 2648/179

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 1686/64,2648/179

Given fractions are 1686/64,2648/179

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 1686,2648

Greatest Common Factor of Numerators i.e. GCF of 1686,2648 is 2 .

LCM of Denominators means LCM of 64,179 as per the given fractions.

LCM of 64,179 is 11456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1686,2648

GCF of Fractions 1686/64,2648/179 is 2/11456

2 1686, 2648
843, 1324

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

Greatest Common Factor of 1686,2648 By Matching Biggest Common Factor Method

Greatest Common Factor of 1686,2648 By Matching Biggest Common Factor Method

Factors of 1686

List of positive integer factors of 1686 that divides 1686 without a remainder.

1,2,3,6,281,562,843,1686

Factors of 2648

List of positive integer factors of 2648 that divides 2648 without a remainder.

1,2,4,8,331,662,1324,2648

Greatest Common Factor

We found the factors 1686,2648 . The biggest common factor number is the GCF number.
So the greatest common factor 1686,2648 is 2.

Lets's calculate LCM of 64,179

Given numbers has no common factors except 1. So, there LCM is their product i.e 11456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11456

Therefore, the GCF of Fractions 1686/64,2648/179 is 2/11456

Least Common Multiple of 64,179 with GCF Formula

Least Common Multiple of 64,179 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 64,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,179) = 1

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

GCF(64,179) x common factors =1 x 1 = 1

LCM(64,179) = ( 64 × 179 ) / 1

LCM(64,179) = 11456 / 1

LCM(64,179) = 11456


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 1686/64, 2648/179

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 1686/64, 2648/179?

Answer: GCF of Numerators as per given numbers 1686/64, 2648/179 is

GCF of Numerators i.e. for 1686,2648 is 2

LCM of denominators i.e. for 64,179 is 11456.

Thus, GCF of Fractions is 2/11456.Finally, GCF of Fractions for 1686/64, 2648/179 is 2/11456.