Greatest Common Factor of 165/658, 2178/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 165/658, 2178/709

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 165/658,2178/709

Given fractions are 165/658,2178/709

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 165,2178

Greatest Common Factor of Numerators i.e. GCF of 165,2178 is 33 .

LCM of Denominators means LCM of 658,709 as per the given fractions.

LCM of 658,709 is 466522 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 165,2178

GCF of Fractions 165/658,2178/709 is 33/466522

3 165, 2178
11 55, 726
5, 66

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 165,2178 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,2178 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 2178

List of positive integer factors of 2178 that divides 2178 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,121,198,242,363,726,1089,2178

Greatest Common Factor

We found the factors 165,2178 . The biggest common factor number is the GCF number.
So the greatest common factor 165,2178 is 33.

Lets's calculate LCM of 658,709

Given numbers has no common factors except 1. So, there LCM is their product i.e 466522

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/466522

Therefore, the GCF of Fractions 165/658,2178/709 is 33/466522

Least Common Multiple of 658,709 with GCF Formula

Least Common Multiple of 658,709 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 658,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,709) = 1

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

GCF(658,709) x common factors =1 x 1 = 1

LCM(658,709) = ( 658 × 709 ) / 1

LCM(658,709) = 466522 / 1

LCM(658,709) = 466522


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 165/658, 2178/709

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 165/658, 2178/709?

Answer: GCF of Numerators as per given numbers 165/658, 2178/709 is

GCF of Numerators i.e. for 165,2178 is 33

LCM of denominators i.e. for 658,709 is 466522.

Thus, GCF of Fractions is 33/466522.Finally, GCF of Fractions for 165/658, 2178/709 is 33/466522.