Greatest Common Factor of 59/17, 37/32, 828/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/17, 37/32, 828/755

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 59/17,37/32,828/755

Given fractions are 59/17,37/32,828/755

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 59,37,828

Greatest Common Factor of Numerators i.e. GCF of 59,37,828 is 1 .

LCM of Denominators means LCM of 17,32,755 as per the given fractions.

LCM of 17,32,755 is 410720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,37,828

GCF of Fractions 59/17,37/32,828/755 is 1/410720

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

Greatest Common Factor of 59,37,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,37,828 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 59,37,828 . The biggest common factor number is the GCF number.
So the greatest common factor 59,37,828 is 1.

Lets's calculate LCM of 17,32,755

Given numbers has no common factors except 1. So, there LCM is their product i.e 410720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410720

Therefore, the GCF of Fractions 59/17,37/32,828/755 is 1/410720

Least Common Multiple of 17,32,755 with GCF Formula

Least Common Multiple of 17,32,755 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 17,32,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,32,755) = 1

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

GCF(17,32,755) x common factors =1 x 1 = 1

LCM(17,32,755) = ( 17 × 32 × 755 ) / 1

LCM(17,32,755) = 410720 / 1

LCM(17,32,755) = 410720


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 59/17, 37/32, 828/755

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 59/17, 37/32, 828/755?

Answer: GCF of Numerators as per given numbers 59/17, 37/32, 828/755 is

GCF of Numerators i.e. for 59,37,828 is 1

LCM of denominators i.e. for 17,32,755 is 410720.

Thus, GCF of Fractions is 1/410720.Finally, GCF of Fractions for 59/17, 37/32, 828/755 is 1/410720.