Greatest Common Factor of 29/59, 25/35, 698/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/59, 25/35, 698/340

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 29/59,25/35,698/340

Given fractions are 29/59,25/35,698/340

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 29,25,698

Greatest Common Factor of Numerators i.e. GCF of 29,25,698 is 1 .

LCM of Denominators means LCM of 59,35,340 as per the given fractions.

LCM of 59,35,340 is 140420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,25,698

GCF of Fractions 29/59,25/35,698/340 is 1/140420

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

Greatest Common Factor of 29,25,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,25,698 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 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 29,25,698 . The biggest common factor number is the GCF number.
So the greatest common factor 29,25,698 is 1.

Lets's calculate LCM of 59,35,340

5 59, 35, 340
59, 7, 68

∴ So the LCM of the given numbers is 5 x 59 x 7 x 68 = 140420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140420

Therefore, the GCF of Fractions 29/59,25/35,698/340 is 1/140420

Least Common Multiple of 59,35,340 with GCF Formula

Least Common Multiple of 59,35,340 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 59,35,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,35,340) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(59,35,340) x common factors =1 x 5 = 5

LCM(59,35,340) = ( 59 × 35 × 340 ) / 5

LCM(59,35,340) = 702100 / 5

LCM(59,35,340) = 140420


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 29/59, 25/35, 698/340

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 29/59, 25/35, 698/340?

Answer: GCF of Numerators as per given numbers 29/59, 25/35, 698/340 is

GCF of Numerators i.e. for 29,25,698 is 1

LCM of denominators i.e. for 59,35,340 is 140420.

Thus, GCF of Fractions is 1/140420.Finally, GCF of Fractions for 29/59, 25/35, 698/340 is 1/140420.