Greatest Common Factor of 8255/31, 8277/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8255/31, 8277/251

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 8255/31,8277/251

Given fractions are 8255/31,8277/251

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 8255,8277

Greatest Common Factor of Numerators i.e. GCF of 8255,8277 is 1 .

LCM of Denominators means LCM of 31,251 as per the given fractions.

LCM of 31,251 is 7781 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8255,8277

GCF of Fractions 8255/31,8277/251 is 1/7781

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

Greatest Common Factor of 8255,8277 By Matching Biggest Common Factor Method

Greatest Common Factor of 8255,8277 By Matching Biggest Common Factor Method

Factors of 8255

List of positive integer factors of 8255 that divides 8255 without a remainder.

1,5,13,65,127,635,1651,8255

Factors of 8277

List of positive integer factors of 8277 that divides 8277 without a remainder.

1,3,31,89,93,267,2759,8277

Greatest Common Factor

We found the factors 8255,8277 . The biggest common factor number is the GCF number.
So the greatest common factor 8255,8277 is 1.

Lets's calculate LCM of 31,251

Given numbers has no common factors except 1. So, there LCM is their product i.e 7781

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7781

Therefore, the GCF of Fractions 8255/31,8277/251 is 1/7781

Least Common Multiple of 31,251 with GCF Formula

Least Common Multiple of 31,251 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 31,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,251) = 1

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

GCF(31,251) x common factors =1 x 1 = 1

LCM(31,251) = ( 31 × 251 ) / 1

LCM(31,251) = 7781 / 1

LCM(31,251) = 7781


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 8255/31, 8277/251

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 8255/31, 8277/251?

Answer: GCF of Numerators as per given numbers 8255/31, 8277/251 is

GCF of Numerators i.e. for 8255,8277 is 1

LCM of denominators i.e. for 31,251 is 7781.

Thus, GCF of Fractions is 1/7781.Finally, GCF of Fractions for 8255/31, 8277/251 is 1/7781.