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 97/720, 39/111

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 97/720, 39/111 i.e 1/26640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/720, 39/111.

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 97/720,39/111?

Given fractions are 97/720,39/111

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 97/720,39/111, numerators are 97,39

Denominators are 720,111

The GCF of 97,39 is 1 .

LCM of 720,111 is 26640.

The greatest common factor of 97/720,39/111 = [GCF of 97,39]/[LCM of 720,111]= 1/26640

Therefore, the GCF of 97/720,39/111 is 1/26640.

Greatest Common Factor of 97,39

To find the highest common factor of 97,39, we have to find the factors of both numbers and list the highest common factor.

The factors of 97 are 1, 97

The factors of 39 are 1, 3, 13, 39

The HCF of 97,39 is 1.

Lets's calculate GCF of 97,39

Greatest Common Factor (GCF) of 97,39 By Common Division

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

Greatest Common Factor of 97,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,39 By Matching Biggest Common Factor Method

Now, list down the factors of 97

:

1,97

Now, list down the factors of 39

:

1,3,13,39

Greatest Common Factor

We found the factors 97,39 . The biggest common factor number is the GCF number.
So the greatest common factor 97,39 is 1.

Lets's calculate LCM of 720,111

Lowest Common Multiple of 720,111 using Common Division

3 720, 111
240, 37

∴ So the LCM of the given numbers is 3 x 240 x 37 = 26640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26640

Therefore, the GCF of Fractions 97/720,39/111 is 1/26640

Least Common Multiple of 720,111 with GCF Formula

Least Common Multiple of 720,111 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 720,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,111) = 3

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

GCF(720,111) x common factors =3 x 1 = 3

LCM(720,111) = ( 720 × 111 ) / 3

LCM(720,111) = 79920 / 3

LCM(720,111) = 26640


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 97/720, 39/111

1. What is the HCF of 97,39?

The HCF of 97,39 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 97/720, 39/111?

Answer: GCF of Numerators as per given numbers 97/720, 39/111 is

GCF of Numerators i.e. for 97,39 is 1

LCM of denominators i.e. for 720,111 is 26640.

Thus, GCF of Fractions is 1/26640.Finally, GCF of Fractions for 97/720, 39/111 is 1/26640.