Greatest Common Factor of 538/65, 592/8584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 538/65, 592/8584

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 538/65,592/8584

Given fractions are 538/65,592/8584

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 538,592

Greatest Common Factor of Numerators i.e. GCF of 538,592 is 2 .

LCM of Denominators means LCM of 65,8584 as per the given fractions.

LCM of 65,8584 is 557960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 538,592

GCF of Fractions 538/65,592/8584 is 2/557960

2 538, 592
269, 296

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 538,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,592 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 538,592 . The biggest common factor number is the GCF number.
So the greatest common factor 538,592 is 2.

Lets's calculate LCM of 65,8584

Given numbers has no common factors except 1. So, there LCM is their product i.e 557960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/557960

Therefore, the GCF of Fractions 538/65,592/8584 is 2/557960

Least Common Multiple of 65,8584 with GCF Formula

Least Common Multiple of 65,8584 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 65,8584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,8584) = 1

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

GCF(65,8584) x common factors =1 x 1 = 1

LCM(65,8584) = ( 65 × 8584 ) / 1

LCM(65,8584) = 557960 / 1

LCM(65,8584) = 557960


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 538/65, 592/8584

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 538/65, 592/8584?

Answer: GCF of Numerators as per given numbers 538/65, 592/8584 is

GCF of Numerators i.e. for 538,592 is 2

LCM of denominators i.e. for 65,8584 is 557960.

Thus, GCF of Fractions is 2/557960.Finally, GCF of Fractions for 538/65, 592/8584 is 2/557960.