Greatest Common Factor of 29/360, 5800/8135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/360, 5800/8135

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 29/360,5800/8135

Given fractions are 29/360,5800/8135

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 29,5800

Greatest Common Factor of Numerators i.e. GCF of 29,5800 is 29 .

LCM of Denominators means LCM of 360,8135 as per the given fractions.

LCM of 360,8135 is 585720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,5800

GCF of Fractions 29/360,5800/8135 is 29/585720

29 29, 5800
1, 200

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 29,5800 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,5800 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 5800

List of positive integer factors of 5800 that divides 5800 without a remainder.

1,2,4,5,8,10,20,25,29,40,50,58,100,116,145,200,232,290,580,725,1160,1450,2900,5800

Greatest Common Factor

We found the factors 29,5800 . The biggest common factor number is the GCF number.
So the greatest common factor 29,5800 is 29.

Lets's calculate LCM of 360,8135

5 360, 8135
72, 1627

∴ So the LCM of the given numbers is 5 x 72 x 1627 = 585720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/585720

Therefore, the GCF of Fractions 29/360,5800/8135 is 29/585720

Least Common Multiple of 360,8135 with GCF Formula

Least Common Multiple of 360,8135 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 360,8135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,8135) = 5

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

GCF(360,8135) x common factors =5 x 1 = 5

LCM(360,8135) = ( 360 × 8135 ) / 5

LCM(360,8135) = 2928600 / 5

LCM(360,8135) = 585720


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 29/360, 5800/8135

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 29/360, 5800/8135?

Answer: GCF of Numerators as per given numbers 29/360, 5800/8135 is

GCF of Numerators i.e. for 29,5800 is 29

LCM of denominators i.e. for 360,8135 is 585720.

Thus, GCF of Fractions is 29/585720.Finally, GCF of Fractions for 29/360, 5800/8135 is 29/585720.