Greatest Common Factor of 66/837, 591/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/837, 591/569

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 66/837,591/569

Given fractions are 66/837,591/569

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 66,591

Greatest Common Factor of Numerators i.e. GCF of 66,591 is 3 .

LCM of Denominators means LCM of 837,569 as per the given fractions.

LCM of 837,569 is 476253 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,591

GCF of Fractions 66/837,591/569 is 3/476253

3 66, 591
22, 197

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 66,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,591 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 66,591 . The biggest common factor number is the GCF number.
So the greatest common factor 66,591 is 3.

Lets's calculate LCM of 837,569

Given numbers has no common factors except 1. So, there LCM is their product i.e 476253

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/476253

Therefore, the GCF of Fractions 66/837,591/569 is 3/476253

Least Common Multiple of 837,569 with GCF Formula

Least Common Multiple of 837,569 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 837,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,569) = 1

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

GCF(837,569) x common factors =1 x 1 = 1

LCM(837,569) = ( 837 × 569 ) / 1

LCM(837,569) = 476253 / 1

LCM(837,569) = 476253


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 66/837, 591/569

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 66/837, 591/569?

Answer: GCF of Numerators as per given numbers 66/837, 591/569 is

GCF of Numerators i.e. for 66,591 is 3

LCM of denominators i.e. for 837,569 is 476253.

Thus, GCF of Fractions is 3/476253.Finally, GCF of Fractions for 66/837, 591/569 is 3/476253.