Greatest Common Factor of 589/56, 877/97, 529/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 589/56, 877/97, 529/275

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 589/56,877/97,529/275

Given fractions are 589/56,877/97,529/275

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 589,877,529

Greatest Common Factor of Numerators i.e. GCF of 589,877,529 is 1 .

LCM of Denominators means LCM of 56,97,275 as per the given fractions.

LCM of 56,97,275 is 1493800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 589,877,529

GCF of Fractions 589/56,877/97,529/275 is 1/1493800

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

Greatest Common Factor of 589,877,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,877,529 By Matching Biggest Common Factor Method

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Greatest Common Factor

We found the factors 589,877,529 . The biggest common factor number is the GCF number.
So the greatest common factor 589,877,529 is 1.


Lets's calculate LCM of 56,97,275

Given numbers has no common factors except 1. So, there LCM is their product i.e 1493800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1493800

Therefore, the GCF of Fractions 589/56,877/97,529/275 is 1/1493800

Least Common Multiple of 56,97,275 with GCF Formula

Least Common Multiple of 56,97,275 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 56,97,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,97,275) = 1

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

GCF(56,97,275) x common factors =1 x 1 = 1

LCM(56,97,275) = ( 56 × 97 × 275 ) / 1

LCM(56,97,275) = 1493800 / 1

LCM(56,97,275) = 1493800


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 589/56, 877/97, 529/275

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 589/56, 877/97, 529/275?

Answer: GCF of Numerators as per given numbers 589/56, 877/97, 529/275 is

GCF of Numerators i.e. for 589,877,529 is 1

LCM of denominators i.e. for 56,97,275 is 1493800.

Thus, GCF of Fractions is 1/1493800.Finally, GCF of Fractions for 589/56, 877/97, 529/275 is 1/1493800.