LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 579/905, 5357/743

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 579/905, 5357/743 i.e 1/672415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 579/905, 5357/743.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 579/905,5357/743?

Given fractions are 579/905,5357/743

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 579/905,5357/743, numerators are 579,5357

Denominators are 905,743

The GCF of 579,5357 is 1 .

LCM of 905,743 is 672415.

The greatest common factor of 579/905,5357/743 = [GCF of 579,5357]/[LCM of 905,743]= 1/672415

Therefore, the GCF of 579/905,5357/743 is 1/672415.

Greatest Common Factor of 579,5357

To find the highest common factor of 579,5357, we have to find the factors of both numbers and list the highest common factor.

The factors of 579 are 1, 3, 193, 579

The factors of 5357 are 1, 11, 487, 5357

The HCF of 579,5357 is 1.

Lets's calculate GCF of 579,5357

Greatest Common Factor (GCF) of 579,5357 By Common Division

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

Greatest Common Factor of 579,5357 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,5357 By Matching Biggest Common Factor Method

Now, list down the factors of 579

:

1,3,193,579

Now, list down the factors of 5357

:

1,11,487,5357

Greatest Common Factor

We found the factors 579,5357 . The biggest common factor number is the GCF number.
So the greatest common factor 579,5357 is 1.

Lets's calculate LCM of 905,743

Lowest Common Multiple of 905,743 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 672415

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/672415

Therefore, the GCF of Fractions 579/905,5357/743 is 1/672415

Least Common Multiple of 905,743 with GCF Formula

Least Common Multiple of 905,743 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 905,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,743) = 1

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

GCF(905,743) x common factors =1 x 1 = 1

LCM(905,743) = ( 905 × 743 ) / 1

LCM(905,743) = 672415 / 1

LCM(905,743) = 672415


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 579/905, 5357/743

1. What is the HCF of 579,5357?

The HCF of 579,5357 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 579/905, 5357/743?

Answer: GCF of Numerators as per given numbers 579/905, 5357/743 is

GCF of Numerators i.e. for 579,5357 is 1

LCM of denominators i.e. for 905,743 is 672415.

Thus, GCF of Fractions is 1/672415.Finally, GCF of Fractions for 579/905, 5357/743 is 1/672415.