Greatest Common Factor of 1255/810, 8565/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1255/810, 8565/182

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 1255/810,8565/182

Given fractions are 1255/810,8565/182

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 1255,8565

Greatest Common Factor of Numerators i.e. GCF of 1255,8565 is 5 .

LCM of Denominators means LCM of 810,182 as per the given fractions.

LCM of 810,182 is 73710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1255,8565

GCF of Fractions 1255/810,8565/182 is 5/73710

5 1255, 8565
251, 1713

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1255,8565 By Matching Biggest Common Factor Method

Greatest Common Factor of 1255,8565 By Matching Biggest Common Factor Method

Factors of 1255

List of positive integer factors of 1255 that divides 1255 without a remainder.

1,5,251,1255

Factors of 8565

List of positive integer factors of 8565 that divides 8565 without a remainder.

1,3,5,15,571,1713,2855,8565

Greatest Common Factor

We found the factors 1255,8565 . The biggest common factor number is the GCF number.
So the greatest common factor 1255,8565 is 5.

Lets's calculate LCM of 810,182

2 810, 182
405, 91

∴ So the LCM of the given numbers is 2 x 405 x 91 = 73710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/73710

Therefore, the GCF of Fractions 1255/810,8565/182 is 5/73710

Least Common Multiple of 810,182 with GCF Formula

Least Common Multiple of 810,182 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 810,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,182) = 2

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

GCF(810,182) x common factors =2 x 1 = 2

LCM(810,182) = ( 810 × 182 ) / 2

LCM(810,182) = 147420 / 2

LCM(810,182) = 73710


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 1255/810, 8565/182

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 1255/810, 8565/182?

Answer: GCF of Numerators as per given numbers 1255/810, 8565/182 is

GCF of Numerators i.e. for 1255,8565 is 5

LCM of denominators i.e. for 810,182 is 73710.

Thus, GCF of Fractions is 5/73710.Finally, GCF of Fractions for 1255/810, 8565/182 is 5/73710.