Greatest Common Factor of 123/685, 264/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 123/685, 264/196

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 123/685,264/196

Given fractions are 123/685,264/196

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 123,264

Greatest Common Factor of Numerators i.e. GCF of 123,264 is 3 .

LCM of Denominators means LCM of 685,196 as per the given fractions.

LCM of 685,196 is 134260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 123,264

GCF of Fractions 123/685,264/196 is 3/134260

3 123, 264
41, 88

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 123,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,264 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 123,264 . The biggest common factor number is the GCF number.
So the greatest common factor 123,264 is 3.

Lets's calculate LCM of 685,196

Given numbers has no common factors except 1. So, there LCM is their product i.e 134260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/134260

Therefore, the GCF of Fractions 123/685,264/196 is 3/134260

Least Common Multiple of 685,196 with GCF Formula

Least Common Multiple of 685,196 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 685,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,196) = 1

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

GCF(685,196) x common factors =1 x 1 = 1

LCM(685,196) = ( 685 × 196 ) / 1

LCM(685,196) = 134260 / 1

LCM(685,196) = 134260


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 123/685, 264/196

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 123/685, 264/196?

Answer: GCF of Numerators as per given numbers 123/685, 264/196 is

GCF of Numerators i.e. for 123,264 is 3

LCM of denominators i.e. for 685,196 is 134260.

Thus, GCF of Fractions is 3/134260.Finally, GCF of Fractions for 123/685, 264/196 is 3/134260.