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 297/25, 159/211

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 297/25, 159/211 i.e 3/5275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 297/25, 159/211.

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 297/25,159/211?

Given fractions are 297/25,159/211

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 297/25,159/211, numerators are 297,159

Denominators are 25,211

The GCF of 297,159 is 3 .

LCM of 25,211 is 5275.

The greatest common factor of 297/25,159/211 = [GCF of 297,159]/[LCM of 25,211]= 3/5275

Therefore, the GCF of 297/25,159/211 is 3/5275.

Greatest Common Factor of 297,159

To find the highest common factor of 297,159, we have to find the factors of both numbers and list the highest common factor.

The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297

The factors of 159 are 1, 3, 53, 159

The HCF of 297,159 is 3.

Lets's calculate GCF of 297,159

Greatest Common Factor (GCF) of 297,159 By Common Division

3 297, 159
99, 53

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 297,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,159 By Matching Biggest Common Factor Method

Now, list down the factors of 297

:

1,3,9,11,27,33,99,297

Now, list down the factors of 159

:

1,3,53,159

Greatest Common Factor

We found the factors 297,159 . The biggest common factor number is the GCF number.
So the greatest common factor 297,159 is 3.

Lets's calculate LCM of 25,211

Lowest Common Multiple of 25,211 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5275

Therefore, the GCF of Fractions 297/25,159/211 is 3/5275

Least Common Multiple of 25,211 with GCF Formula

Least Common Multiple of 25,211 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 25,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,211) = 1

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

GCF(25,211) x common factors =1 x 1 = 1

LCM(25,211) = ( 25 × 211 ) / 1

LCM(25,211) = 5275 / 1

LCM(25,211) = 5275


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 297/25, 159/211

1. What is the HCF of 297,159?

The HCF of 297,159 is 3

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 297/25, 159/211?

Answer: GCF of Numerators as per given numbers 297/25, 159/211 is

GCF of Numerators i.e. for 297,159 is 3

LCM of denominators i.e. for 25,211 is 5275.

Thus, GCF of Fractions is 3/5275.Finally, GCF of Fractions for 297/25, 159/211 is 3/5275.