Greatest Common Factor of 603/726, 548/905, 353/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 603/726, 548/905, 353/213

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 603/726,548/905,353/213

Given fractions are 603/726,548/905,353/213

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 603,548,353

Greatest Common Factor of Numerators i.e. GCF of 603,548,353 is 1 .

LCM of Denominators means LCM of 726,905,213 as per the given fractions.

LCM of 726,905,213 is 46649130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 603,548,353

GCF of Fractions 603/726,548/905,353/213 is 1/46649130

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

Greatest Common Factor of 603,548,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 603,548,353 By Matching Biggest Common Factor Method

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 603,548,353 . The biggest common factor number is the GCF number.
So the greatest common factor 603,548,353 is 1.

Lets's calculate LCM of 726,905,213

3 726, 905, 213
242, 905, 71

∴ So the LCM of the given numbers is 3 x 242 x 905 x 71 = 46649130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46649130

Therefore, the GCF of Fractions 603/726,548/905,353/213 is 1/46649130

Least Common Multiple of 726,905,213 with GCF Formula

Least Common Multiple of 726,905,213 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 726,905,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,905,213) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(726,905,213) x common factors =1 x 3 = 3

LCM(726,905,213) = ( 726 × 905 × 213 ) / 3

LCM(726,905,213) = 139947390 / 3

LCM(726,905,213) = 46649130


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 603/726, 548/905, 353/213

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 603/726, 548/905, 353/213?

Answer: GCF of Numerators as per given numbers 603/726, 548/905, 353/213 is

GCF of Numerators i.e. for 603,548,353 is 1

LCM of denominators i.e. for 726,905,213 is 46649130.

Thus, GCF of Fractions is 1/46649130.Finally, GCF of Fractions for 603/726, 548/905, 353/213 is 1/46649130.