Greatest Common Factor of 606/977, 725/238, 993/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 606/977, 725/238, 993/522

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 606/977,725/238,993/522

Given fractions are 606/977,725/238,993/522

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 606,725,993

Greatest Common Factor of Numerators i.e. GCF of 606,725,993 is 1 .

LCM of Denominators means LCM of 977,238,522 as per the given fractions.

LCM of 977,238,522 is 60689286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 606,725,993

GCF of Fractions 606/977,725/238,993/522 is 1/60689286

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

Greatest Common Factor of 606,725,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 606,725,993 By Matching Biggest Common Factor Method

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 606,725,993 . The biggest common factor number is the GCF number.
So the greatest common factor 606,725,993 is 1.

Lets's calculate LCM of 977,238,522

2 977, 238, 522
977, 119, 261

∴ So the LCM of the given numbers is 2 x 977 x 119 x 261 = 60689286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60689286

Therefore, the GCF of Fractions 606/977,725/238,993/522 is 1/60689286

Least Common Multiple of 977,238,522 with GCF Formula

Least Common Multiple of 977,238,522 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 977,238,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,238,522) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(977,238,522) x common factors =1 x 2 = 2

LCM(977,238,522) = ( 977 × 238 × 522 ) / 2

LCM(977,238,522) = 121378572 / 2

LCM(977,238,522) = 60689286


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 606/977, 725/238, 993/522

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 606/977, 725/238, 993/522?

Answer: GCF of Numerators as per given numbers 606/977, 725/238, 993/522 is

GCF of Numerators i.e. for 606,725,993 is 1

LCM of denominators i.e. for 977,238,522 is 60689286.

Thus, GCF of Fractions is 1/60689286.Finally, GCF of Fractions for 606/977, 725/238, 993/522 is 1/60689286.