Greatest Common Factor of 618/993, 526/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 618/993, 526/577

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 618/993,526/577

Given fractions are 618/993,526/577

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 618,526

Greatest Common Factor of Numerators i.e. GCF of 618,526 is 2 .

LCM of Denominators means LCM of 993,577 as per the given fractions.

LCM of 993,577 is 572961 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 618,526

GCF of Fractions 618/993,526/577 is 2/572961

2 618, 526
309, 263

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

Greatest Common Factor of 618,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,526 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 618,526 . The biggest common factor number is the GCF number.
So the greatest common factor 618,526 is 2.

Lets's calculate LCM of 993,577

Given numbers has no common factors except 1. So, there LCM is their product i.e 572961

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/572961

Therefore, the GCF of Fractions 618/993,526/577 is 2/572961

Least Common Multiple of 993,577 with GCF Formula

Least Common Multiple of 993,577 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 993,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,577) = 1

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

GCF(993,577) x common factors =1 x 1 = 1

LCM(993,577) = ( 993 × 577 ) / 1

LCM(993,577) = 572961 / 1

LCM(993,577) = 572961


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 618/993, 526/577

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 618/993, 526/577?

Answer: GCF of Numerators as per given numbers 618/993, 526/577 is

GCF of Numerators i.e. for 618,526 is 2

LCM of denominators i.e. for 993,577 is 572961.

Thus, GCF of Fractions is 2/572961.Finally, GCF of Fractions for 618/993, 526/577 is 2/572961.