Greatest Common Factor of 261/814, 313/221, 437/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 261/814, 313/221, 437/563

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 261/814,313/221,437/563

Given fractions are 261/814,313/221,437/563

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 261,313,437

Greatest Common Factor of Numerators i.e. GCF of 261,313,437 is 1 .

LCM of Denominators means LCM of 814,221,563 as per the given fractions.

LCM of 814,221,563 is 101280322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 261,313,437

GCF of Fractions 261/814,313/221,437/563 is 1/101280322

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

Greatest Common Factor of 261,313,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,313,437 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Greatest Common Factor

We found the factors 261,313,437 . The biggest common factor number is the GCF number.
So the greatest common factor 261,313,437 is 1.

Lets's calculate LCM of 814,221,563

Given numbers has no common factors except 1. So, there LCM is their product i.e 101280322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101280322

Therefore, the GCF of Fractions 261/814,313/221,437/563 is 1/101280322

Least Common Multiple of 814,221,563 with GCF Formula

Least Common Multiple of 814,221,563 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 814,221,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,221,563) = 1

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

GCF(814,221,563) x common factors =1 x 1 = 1

LCM(814,221,563) = ( 814 × 221 × 563 ) / 1

LCM(814,221,563) = 101280322 / 1

LCM(814,221,563) = 101280322


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 261/814, 313/221, 437/563

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 261/814, 313/221, 437/563?

Answer: GCF of Numerators as per given numbers 261/814, 313/221, 437/563 is

GCF of Numerators i.e. for 261,313,437 is 1

LCM of denominators i.e. for 814,221,563 is 101280322.

Thus, GCF of Fractions is 1/101280322.Finally, GCF of Fractions for 261/814, 313/221, 437/563 is 1/101280322.