Greatest Common Factor of 1798/250, 7517/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1798/250, 7517/360

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 1798/250,7517/360

Given fractions are 1798/250,7517/360

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 1798,7517

Greatest Common Factor of Numerators i.e. GCF of 1798,7517 is 1 .

LCM of Denominators means LCM of 250,360 as per the given fractions.

LCM of 250,360 is 9000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1798,7517

GCF of Fractions 1798/250,7517/360 is 1/9000

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

Greatest Common Factor of 1798,7517 By Matching Biggest Common Factor Method

Greatest Common Factor of 1798,7517 By Matching Biggest Common Factor Method

Factors of 1798

List of positive integer factors of 1798 that divides 1798 without a remainder.

1,2,29,31,58,62,899,1798

Factors of 7517

List of positive integer factors of 7517 that divides 7517 without a remainder.

1,7517

Greatest Common Factor

We found the factors 1798,7517 . The biggest common factor number is the GCF number.
So the greatest common factor 1798,7517 is 1.

Lets's calculate LCM of 250,360

2 250, 360
5 125, 180
25, 36

∴ So the LCM of the given numbers is 2 x 5 x 25 x 36 = 9000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9000

Therefore, the GCF of Fractions 1798/250,7517/360 is 1/9000

Least Common Multiple of 250,360 with GCF Formula

Least Common Multiple of 250,360 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 250,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,360) = 10

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

GCF(250,360) x common factors =10 x 1 = 10

LCM(250,360) = ( 250 × 360 ) / 10

LCM(250,360) = 90000 / 10

LCM(250,360) = 9000


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 1798/250, 7517/360

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 1798/250, 7517/360?

Answer: GCF of Numerators as per given numbers 1798/250, 7517/360 is

GCF of Numerators i.e. for 1798,7517 is 1

LCM of denominators i.e. for 250,360 is 9000.

Thus, GCF of Fractions is 1/9000.Finally, GCF of Fractions for 1798/250, 7517/360 is 1/9000.