Greatest Common Factor of 97/473, 598/585, 518/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/473, 598/585, 518/522

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 97/473,598/585,518/522

Given fractions are 97/473,598/585,518/522

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 97,598,518

Greatest Common Factor of Numerators i.e. GCF of 97,598,518 is 1 .

LCM of Denominators means LCM of 473,585,522 as per the given fractions.

LCM of 473,585,522 is 16048890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,598,518

GCF of Fractions 97/473,598/585,518/522 is 1/16048890

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

Greatest Common Factor of 97,598,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,598,518 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 97,598,518 . The biggest common factor number is the GCF number.
So the greatest common factor 97,598,518 is 1.

Lets's calculate LCM of 473,585,522

3 473, 585, 522
3 473, 195, 174
473, 65, 58

∴ So the LCM of the given numbers is 3 x 3 x 473 x 65 x 58 = 16048890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16048890

Therefore, the GCF of Fractions 97/473,598/585,518/522 is 1/16048890

Least Common Multiple of 473,585,522 with GCF Formula

Least Common Multiple of 473,585,522 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 473,585,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,585,522) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(473,585,522) x common factors =1 x 9 = 9

LCM(473,585,522) = ( 473 × 585 × 522 ) / 9

LCM(473,585,522) = 144440010 / 9

LCM(473,585,522) = 16048890


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 97/473, 598/585, 518/522

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 97/473, 598/585, 518/522?

Answer: GCF of Numerators as per given numbers 97/473, 598/585, 518/522 is

GCF of Numerators i.e. for 97,598,518 is 1

LCM of denominators i.e. for 473,585,522 is 16048890.

Thus, GCF of Fractions is 1/16048890.Finally, GCF of Fractions for 97/473, 598/585, 518/522 is 1/16048890.