Greatest Common Factor of 8207/259, 3180/5319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8207/259, 3180/5319

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 8207/259,3180/5319

Given fractions are 8207/259,3180/5319

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 8207,3180

Greatest Common Factor of Numerators i.e. GCF of 8207,3180 is 1 .

LCM of Denominators means LCM of 259,5319 as per the given fractions.

LCM of 259,5319 is 1377621 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8207,3180

GCF of Fractions 8207/259,3180/5319 is 1/1377621

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

Greatest Common Factor of 8207,3180 By Matching Biggest Common Factor Method

Greatest Common Factor of 8207,3180 By Matching Biggest Common Factor Method

Factors of 8207

List of positive integer factors of 8207 that divides 8207 without a remainder.

1,29,283,8207

Factors of 3180

List of positive integer factors of 3180 that divides 3180 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,53,60,106,159,212,265,318,530,636,795,1060,1590,3180

Greatest Common Factor

We found the factors 8207,3180 . The biggest common factor number is the GCF number.
So the greatest common factor 8207,3180 is 1.

Lets's calculate LCM of 259,5319

Given numbers has no common factors except 1. So, there LCM is their product i.e 1377621

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1377621

Therefore, the GCF of Fractions 8207/259,3180/5319 is 1/1377621

Least Common Multiple of 259,5319 with GCF Formula

Least Common Multiple of 259,5319 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 259,5319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(259,5319) = 1

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

GCF(259,5319) x common factors =1 x 1 = 1

LCM(259,5319) = ( 259 × 5319 ) / 1

LCM(259,5319) = 1377621 / 1

LCM(259,5319) = 1377621


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 8207/259, 3180/5319

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 8207/259, 3180/5319?

Answer: GCF of Numerators as per given numbers 8207/259, 3180/5319 is

GCF of Numerators i.e. for 8207,3180 is 1

LCM of denominators i.e. for 259,5319 is 1377621.

Thus, GCF of Fractions is 1/1377621.Finally, GCF of Fractions for 8207/259, 3180/5319 is 1/1377621.