Greatest Common Factor of 1598/250, 5090/3284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1598/250, 5090/3284

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 1598/250,5090/3284

Given fractions are 1598/250,5090/3284

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 1598,5090

Greatest Common Factor of Numerators i.e. GCF of 1598,5090 is 2 .

LCM of Denominators means LCM of 250,3284 as per the given fractions.

LCM of 250,3284 is 410500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1598,5090

GCF of Fractions 1598/250,5090/3284 is 2/410500

2 1598, 5090
799, 2545

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1598,5090 By Matching Biggest Common Factor Method

Greatest Common Factor of 1598,5090 By Matching Biggest Common Factor Method

Factors of 1598

List of positive integer factors of 1598 that divides 1598 without a remainder.

1,2,17,34,47,94,799,1598

Factors of 5090

List of positive integer factors of 5090 that divides 5090 without a remainder.

1,2,5,10,509,1018,2545,5090

Greatest Common Factor

We found the factors 1598,5090 . The biggest common factor number is the GCF number.
So the greatest common factor 1598,5090 is 2.

Lets's calculate LCM of 250,3284

2 250, 3284
125, 1642

∴ So the LCM of the given numbers is 2 x 125 x 1642 = 410500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/410500

Therefore, the GCF of Fractions 1598/250,5090/3284 is 2/410500

Least Common Multiple of 250,3284 with GCF Formula

Least Common Multiple of 250,3284 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 250,3284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,3284) = 2

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

GCF(250,3284) x common factors =2 x 1 = 2

LCM(250,3284) = ( 250 × 3284 ) / 2

LCM(250,3284) = 821000 / 2

LCM(250,3284) = 410500


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 1598/250, 5090/3284

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 1598/250, 5090/3284?

Answer: GCF of Numerators as per given numbers 1598/250, 5090/3284 is

GCF of Numerators i.e. for 1598,5090 is 2

LCM of denominators i.e. for 250,3284 is 410500.

Thus, GCF of Fractions is 2/410500.Finally, GCF of Fractions for 1598/250, 5090/3284 is 2/410500.