Greatest Common Factor of 512/653, 268/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 512/653, 268/261

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 512/653,268/261

Given fractions are 512/653,268/261

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 512,268

Greatest Common Factor of Numerators i.e. GCF of 512,268 is 4 .

LCM of Denominators means LCM of 653,261 as per the given fractions.

LCM of 653,261 is 170433 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 512,268

GCF of Fractions 512/653,268/261 is 4/170433

2 512, 268
2 256, 134
128, 67

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 512,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,268 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 512,268 . The biggest common factor number is the GCF number.
So the greatest common factor 512,268 is 4.

Lets's calculate LCM of 653,261

Given numbers has no common factors except 1. So, there LCM is their product i.e 170433

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/170433

Therefore, the GCF of Fractions 512/653,268/261 is 4/170433

Least Common Multiple of 653,261 with GCF Formula

Least Common Multiple of 653,261 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 653,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,261) = 1

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

GCF(653,261) x common factors =1 x 1 = 1

LCM(653,261) = ( 653 × 261 ) / 1

LCM(653,261) = 170433 / 1

LCM(653,261) = 170433


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 512/653, 268/261

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 512/653, 268/261?

Answer: GCF of Numerators as per given numbers 512/653, 268/261 is

GCF of Numerators i.e. for 512,268 is 4

LCM of denominators i.e. for 653,261 is 170433.

Thus, GCF of Fractions is 4/170433.Finally, GCF of Fractions for 512/653, 268/261 is 4/170433.