Greatest Common Factor of 439/23, 490/25, 293/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 439/23, 490/25, 293/584

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 439/23,490/25,293/584

Given fractions are 439/23,490/25,293/584

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 439,490,293

Greatest Common Factor of Numerators i.e. GCF of 439,490,293 is 1 .

LCM of Denominators means LCM of 23,25,584 as per the given fractions.

LCM of 23,25,584 is 335800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 439,490,293

GCF of Fractions 439/23,490/25,293/584 is 1/335800

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

Greatest Common Factor of 439,490,293 By Matching Biggest Common Factor Method

Greatest Common Factor of 439,490,293 By Matching Biggest Common Factor Method

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Greatest Common Factor

We found the factors 439,490,293 . The biggest common factor number is the GCF number.
So the greatest common factor 439,490,293 is 1.

Lets's calculate LCM of 23,25,584

Given numbers has no common factors except 1. So, there LCM is their product i.e 335800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/335800

Therefore, the GCF of Fractions 439/23,490/25,293/584 is 1/335800

Least Common Multiple of 23,25,584 with GCF Formula

Least Common Multiple of 23,25,584 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 23,25,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,25,584) = 1

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

GCF(23,25,584) x common factors =1 x 1 = 1

LCM(23,25,584) = ( 23 × 25 × 584 ) / 1

LCM(23,25,584) = 335800 / 1

LCM(23,25,584) = 335800


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 439/23, 490/25, 293/584

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 439/23, 490/25, 293/584?

Answer: GCF of Numerators as per given numbers 439/23, 490/25, 293/584 is

GCF of Numerators i.e. for 439,490,293 is 1

LCM of denominators i.e. for 23,25,584 is 335800.

Thus, GCF of Fractions is 1/335800.Finally, GCF of Fractions for 439/23, 490/25, 293/584 is 1/335800.