Greatest Common Factor of 1290/560, 1915/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1290/560, 1915/293

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 1290/560,1915/293

Given fractions are 1290/560,1915/293

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 1290,1915

Greatest Common Factor of Numerators i.e. GCF of 1290,1915 is 5 .

LCM of Denominators means LCM of 560,293 as per the given fractions.

LCM of 560,293 is 164080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1290,1915

GCF of Fractions 1290/560,1915/293 is 5/164080

5 1290, 1915
258, 383

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

Greatest Common Factor of 1290,1915 By Matching Biggest Common Factor Method

Greatest Common Factor of 1290,1915 By Matching Biggest Common Factor Method

Factors of 1290

List of positive integer factors of 1290 that divides 1290 without a remainder.

1,2,3,5,6,10,15,30,43,86,129,215,258,430,645,1290

Factors of 1915

List of positive integer factors of 1915 that divides 1915 without a remainder.

1,5,383,1915

Greatest Common Factor

We found the factors 1290,1915 . The biggest common factor number is the GCF number.
So the greatest common factor 1290,1915 is 5.

Lets's calculate LCM of 560,293

Given numbers has no common factors except 1. So, there LCM is their product i.e 164080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/164080

Therefore, the GCF of Fractions 1290/560,1915/293 is 5/164080

Least Common Multiple of 560,293 with GCF Formula

Least Common Multiple of 560,293 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 560,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,293) = 1

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

GCF(560,293) x common factors =1 x 1 = 1

LCM(560,293) = ( 560 × 293 ) / 1

LCM(560,293) = 164080 / 1

LCM(560,293) = 164080


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 1290/560, 1915/293

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 1290/560, 1915/293?

Answer: GCF of Numerators as per given numbers 1290/560, 1915/293 is

GCF of Numerators i.e. for 1290,1915 is 5

LCM of denominators i.e. for 560,293 is 164080.

Thus, GCF of Fractions is 5/164080.Finally, GCF of Fractions for 1290/560, 1915/293 is 5/164080.