Greatest Common Factor of 1359/205, 6880/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1359/205, 6880/995

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 1359/205,6880/995

Given fractions are 1359/205,6880/995

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 1359,6880

Greatest Common Factor of Numerators i.e. GCF of 1359,6880 is 1 .

LCM of Denominators means LCM of 205,995 as per the given fractions.

LCM of 205,995 is 40795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1359,6880

GCF of Fractions 1359/205,6880/995 is 1/40795

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

Greatest Common Factor of 1359,6880 By Matching Biggest Common Factor Method

Greatest Common Factor of 1359,6880 By Matching Biggest Common Factor Method

Factors of 1359

List of positive integer factors of 1359 that divides 1359 without a remainder.

1,3,9,151,453,1359

Factors of 6880

List of positive integer factors of 6880 that divides 6880 without a remainder.

1,2,4,5,8,10,16,20,32,40,43,80,86,160,172,215,344,430,688,860,1376,1720,3440,6880

Greatest Common Factor

We found the factors 1359,6880 . The biggest common factor number is the GCF number.
So the greatest common factor 1359,6880 is 1.

Lets's calculate LCM of 205,995

5 205, 995
41, 199

∴ So the LCM of the given numbers is 5 x 41 x 199 = 40795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40795

Therefore, the GCF of Fractions 1359/205,6880/995 is 1/40795

Least Common Multiple of 205,995 with GCF Formula

Least Common Multiple of 205,995 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 205,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,995) = 5

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

GCF(205,995) x common factors =5 x 1 = 5

LCM(205,995) = ( 205 × 995 ) / 5

LCM(205,995) = 203975 / 5

LCM(205,995) = 40795


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 1359/205, 6880/995

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 1359/205, 6880/995?

Answer: GCF of Numerators as per given numbers 1359/205, 6880/995 is

GCF of Numerators i.e. for 1359,6880 is 1

LCM of denominators i.e. for 205,995 is 40795.

Thus, GCF of Fractions is 1/40795.Finally, GCF of Fractions for 1359/205, 6880/995 is 1/40795.