Greatest Common Factor of 890/837, 4090/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 890/837, 4090/500

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 890/837,4090/500

Given fractions are 890/837,4090/500

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 890,4090

Greatest Common Factor of Numerators i.e. GCF of 890,4090 is 10 .

LCM of Denominators means LCM of 837,500 as per the given fractions.

LCM of 837,500 is 418500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 890,4090

GCF of Fractions 890/837,4090/500 is 10/418500

2 890, 4090
5 445, 2045
89, 409

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 890,4090 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,4090 By Matching Biggest Common Factor Method

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 4090

List of positive integer factors of 4090 that divides 4090 without a remainder.

1,2,5,10,409,818,2045,4090

Greatest Common Factor

We found the factors 890,4090 . The biggest common factor number is the GCF number.
So the greatest common factor 890,4090 is 10.

Lets's calculate LCM of 837,500

Given numbers has no common factors except 1. So, there LCM is their product i.e 418500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/418500

Therefore, the GCF of Fractions 890/837,4090/500 is 10/418500

Least Common Multiple of 837,500 with GCF Formula

Least Common Multiple of 837,500 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 837,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,500) = 1

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

GCF(837,500) x common factors =1 x 1 = 1

LCM(837,500) = ( 837 × 500 ) / 1

LCM(837,500) = 418500 / 1

LCM(837,500) = 418500


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 890/837, 4090/500

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 890/837, 4090/500?

Answer: GCF of Numerators as per given numbers 890/837, 4090/500 is

GCF of Numerators i.e. for 890,4090 is 10

LCM of denominators i.e. for 837,500 is 418500.

Thus, GCF of Fractions is 10/418500.Finally, GCF of Fractions for 890/837, 4090/500 is 10/418500.