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 14/504, 72/593

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 14/504, 72/593 i.e 2/298872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/504, 72/593.

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 14/504,72/593?

Given fractions are 14/504,72/593

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 14/504,72/593, numerators are 14,72

Denominators are 504,593

The GCF of 14,72 is 2 .

LCM of 504,593 is 298872.

The greatest common factor of 14/504,72/593 = [GCF of 14,72]/[LCM of 504,593]= 2/298872

Therefore, the GCF of 14/504,72/593 is 2/298872.

Greatest Common Factor of 14,72

To find the highest common factor of 14,72, we have to find the factors of both numbers and list the highest common factor.

The factors of 14 are 1, 2, 7, 14

The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The HCF of 14,72 is 2.

Lets's calculate GCF of 14,72

Greatest Common Factor (GCF) of 14,72 By Common Division

2 14, 72
7, 36

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

Greatest Common Factor of 14,72 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,72 By Matching Biggest Common Factor Method

Now, list down the factors of 14

:

1,2,7,14

Now, list down the factors of 72

:

1,2,3,4,6,8,9,12,18,24,36,72

Greatest Common Factor

We found the factors 14,72 . The biggest common factor number is the GCF number.
So the greatest common factor 14,72 is 2.

Lets's calculate LCM of 504,593

Lowest Common Multiple of 504,593 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 298872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/298872

Therefore, the GCF of Fractions 14/504,72/593 is 2/298872

Least Common Multiple of 504,593 with GCF Formula

Least Common Multiple of 504,593 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 504,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,593) = 1

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

GCF(504,593) x common factors =1 x 1 = 1

LCM(504,593) = ( 504 × 593 ) / 1

LCM(504,593) = 298872 / 1

LCM(504,593) = 298872


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 14/504, 72/593

1. What is the HCF of 14,72?

The HCF of 14,72 is 2

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 14/504, 72/593?

Answer: GCF of Numerators as per given numbers 14/504, 72/593 is

GCF of Numerators i.e. for 14,72 is 2

LCM of denominators i.e. for 504,593 is 298872.

Thus, GCF of Fractions is 2/298872.Finally, GCF of Fractions for 14/504, 72/593 is 2/298872.