Greatest Common Factor of 494/409, 500/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 494/409, 500/680

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 494/409,500/680

Given fractions are 494/409,500/680

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 494,500

Greatest Common Factor of Numerators i.e. GCF of 494,500 is 2 .

LCM of Denominators means LCM of 409,680 as per the given fractions.

LCM of 409,680 is 278120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 494,500

GCF of Fractions 494/409,500/680 is 2/278120

2 494, 500
247, 250

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

Greatest Common Factor of 494,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,500 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 494,500 . The biggest common factor number is the GCF number.
So the greatest common factor 494,500 is 2.

Lets's calculate LCM of 409,680

Given numbers has no common factors except 1. So, there LCM is their product i.e 278120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/278120

Therefore, the GCF of Fractions 494/409,500/680 is 2/278120

Least Common Multiple of 409,680 with GCF Formula

Least Common Multiple of 409,680 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 409,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,680) = 1

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

GCF(409,680) x common factors =1 x 1 = 1

LCM(409,680) = ( 409 × 680 ) / 1

LCM(409,680) = 278120 / 1

LCM(409,680) = 278120


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 494/409, 500/680

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 494/409, 500/680?

Answer: GCF of Numerators as per given numbers 494/409, 500/680 is

GCF of Numerators i.e. for 494,500 is 2

LCM of denominators i.e. for 409,680 is 278120.

Thus, GCF of Fractions is 2/278120.Finally, GCF of Fractions for 494/409, 500/680 is 2/278120.