Greatest Common Factor of 251/27, 3274/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 251/27, 3274/766

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 251/27,3274/766

Given fractions are 251/27,3274/766

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 251,3274

Greatest Common Factor of Numerators i.e. GCF of 251,3274 is 1 .

LCM of Denominators means LCM of 27,766 as per the given fractions.

LCM of 27,766 is 20682 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 251,3274

GCF of Fractions 251/27,3274/766 is 1/20682

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

Greatest Common Factor of 251,3274 By Matching Biggest Common Factor Method

Greatest Common Factor of 251,3274 By Matching Biggest Common Factor Method

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 3274

List of positive integer factors of 3274 that divides 3274 without a remainder.

1,2,1637,3274

Greatest Common Factor

We found the factors 251,3274 . The biggest common factor number is the GCF number.
So the greatest common factor 251,3274 is 1.

Lets's calculate LCM of 27,766

Given numbers has no common factors except 1. So, there LCM is their product i.e 20682

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20682

Therefore, the GCF of Fractions 251/27,3274/766 is 1/20682

Least Common Multiple of 27,766 with GCF Formula

Least Common Multiple of 27,766 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 27,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,766) = 1

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

GCF(27,766) x common factors =1 x 1 = 1

LCM(27,766) = ( 27 × 766 ) / 1

LCM(27,766) = 20682 / 1

LCM(27,766) = 20682


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 251/27, 3274/766

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 251/27, 3274/766?

Answer: GCF of Numerators as per given numbers 251/27, 3274/766 is

GCF of Numerators i.e. for 251,3274 is 1

LCM of denominators i.e. for 27,766 is 20682.

Thus, GCF of Fractions is 1/20682.Finally, GCF of Fractions for 251/27, 3274/766 is 1/20682.