Greatest Common Factor of 29/989, 79/216, 217/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/989, 79/216, 217/344

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 29/989,79/216,217/344

Given fractions are 29/989,79/216,217/344

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 29,79,217

Greatest Common Factor of Numerators i.e. GCF of 29,79,217 is 1 .

LCM of Denominators means LCM of 989,216,344 as per the given fractions.

LCM of 989,216,344 is 213624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,79,217

GCF of Fractions 29/989,79/216,217/344 is 1/213624

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

Greatest Common Factor of 29,79,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,79,217 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 29,79,217 . The biggest common factor number is the GCF number.
So the greatest common factor 29,79,217 is 1.

Lets's calculate LCM of 989,216,344

2 989, 216, 344
2 989, 108, 172
2 989, 54, 86
43 989, 27, 43
23, 27, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 43 x 23 x 27 x 1 = 213624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213624

Therefore, the GCF of Fractions 29/989,79/216,217/344 is 1/213624

Least Common Multiple of 989,216,344 with GCF Formula

Least Common Multiple of 989,216,344 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 989,216,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,216,344) = 1

common factors(in case of two or more numbers have common factors) = 344

GCF(989,216,344) x common factors =1 x 344 = 344

LCM(989,216,344) = ( 989 × 216 × 344 ) / 344

LCM(989,216,344) = 73486656 / 344

LCM(989,216,344) = 213624


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 29/989, 79/216, 217/344

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 29/989, 79/216, 217/344?

Answer: GCF of Numerators as per given numbers 29/989, 79/216, 217/344 is

GCF of Numerators i.e. for 29,79,217 is 1

LCM of denominators i.e. for 989,216,344 is 213624.

Thus, GCF of Fractions is 1/213624.Finally, GCF of Fractions for 29/989, 79/216, 217/344 is 1/213624.