Greatest Common Factor of 59/72, 754/17, 990/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/72, 754/17, 990/385

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 59/72,754/17,990/385

Given fractions are 59/72,754/17,990/385

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 59,754,990

Greatest Common Factor of Numerators i.e. GCF of 59,754,990 is 1 .

LCM of Denominators means LCM of 72,17,385 as per the given fractions.

LCM of 72,17,385 is 471240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,754,990

GCF of Fractions 59/72,754/17,990/385 is 1/471240

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

Greatest Common Factor of 59,754,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,754,990 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 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 59,754,990 . The biggest common factor number is the GCF number.
So the greatest common factor 59,754,990 is 1.

Lets's calculate LCM of 72,17,385

Given numbers has no common factors except 1. So, there LCM is their product i.e 471240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/471240

Therefore, the GCF of Fractions 59/72,754/17,990/385 is 1/471240

Least Common Multiple of 72,17,385 with GCF Formula

Least Common Multiple of 72,17,385 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 72,17,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,17,385) = 1

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

GCF(72,17,385) x common factors =1 x 1 = 1

LCM(72,17,385) = ( 72 × 17 × 385 ) / 1

LCM(72,17,385) = 471240 / 1

LCM(72,17,385) = 471240


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 59/72, 754/17, 990/385

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 59/72, 754/17, 990/385?

Answer: GCF of Numerators as per given numbers 59/72, 754/17, 990/385 is

GCF of Numerators i.e. for 59,754,990 is 1

LCM of denominators i.e. for 72,17,385 is 471240.

Thus, GCF of Fractions is 1/471240.Finally, GCF of Fractions for 59/72, 754/17, 990/385 is 1/471240.