Greatest Common Factor of 681/27, 435/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 681/27, 435/257

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 681/27,435/257

Given fractions are 681/27,435/257

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 681,435

Greatest Common Factor of Numerators i.e. GCF of 681,435 is 3 .

LCM of Denominators means LCM of 27,257 as per the given fractions.

LCM of 27,257 is 6939 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 681,435

GCF of Fractions 681/27,435/257 is 3/6939

3 681, 435
227, 145

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

Greatest Common Factor of 681,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,435 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 681,435 . The biggest common factor number is the GCF number.
So the greatest common factor 681,435 is 3.

Lets's calculate LCM of 27,257

Given numbers has no common factors except 1. So, there LCM is their product i.e 6939

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6939

Therefore, the GCF of Fractions 681/27,435/257 is 3/6939

Least Common Multiple of 27,257 with GCF Formula

Least Common Multiple of 27,257 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 27,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,257) = 1

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

GCF(27,257) x common factors =1 x 1 = 1

LCM(27,257) = ( 27 × 257 ) / 1

LCM(27,257) = 6939 / 1

LCM(27,257) = 6939


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 681/27, 435/257

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 681/27, 435/257?

Answer: GCF of Numerators as per given numbers 681/27, 435/257 is

GCF of Numerators i.e. for 681,435 is 3

LCM of denominators i.e. for 27,257 is 6939.

Thus, GCF of Fractions is 3/6939.Finally, GCF of Fractions for 681/27, 435/257 is 3/6939.