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 2399/197, 9671/197

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 2399/197, 9671/197 i.e 1/197 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2399/197, 9671/197.

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 2399/197,9671/197?

Given fractions are 2399/197,9671/197

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 2399/197,9671/197, numerators are 2399,9671

Denominators are 197,197

The GCF of 2399,9671 is 1 .

LCM of 197,197 is 197.

The greatest common factor of 2399/197,9671/197 = [GCF of 2399,9671]/[LCM of 197,197]= 1/197

Therefore, the GCF of 2399/197,9671/197 is 1/197.

Greatest Common Factor of 2399,9671

To find the highest common factor of 2399,9671, we have to find the factors of both numbers and list the highest common factor.

The factors of 2399 are 1, 2399

The factors of 9671 are 1, 19, 509, 9671

The HCF of 2399,9671 is 1.

Lets's calculate GCF of 2399,9671

Greatest Common Factor (GCF) of 2399,9671 By Common Division

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

Greatest Common Factor of 2399,9671 By Matching Biggest Common Factor Method

Greatest Common Factor of 2399,9671 By Matching Biggest Common Factor Method

Now, list down the factors of 2399

:

1,2399

Now, list down the factors of 9671

:

1,19,509,9671

Greatest Common Factor

We found the factors 2399,9671 . The biggest common factor number is the GCF number.
So the greatest common factor 2399,9671 is 1.

Lets's calculate LCM of 197,197

Lowest Common Multiple of 197,197 using Common Division

197 197, 197
1, 1

∴ So the LCM of the given numbers is 197 x 1 x 1 = 197

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197

Therefore, the GCF of Fractions 2399/197,9671/197 is 1/197

Least Common Multiple of 197,197 with GCF Formula

Least Common Multiple of 197,197 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 197,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(197,197) = 197

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

GCF(197,197) x common factors =197 x 1 = 197

LCM(197,197) = ( 197 × 197 ) / 197

LCM(197,197) = 38809 / 197

LCM(197,197) = 197


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2399/197, 9671/197

1. What is the HCF of 2399,9671?

The HCF of 2399,9671 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 2399/197, 9671/197?

Answer: GCF of Numerators as per given numbers 2399/197, 9671/197 is

GCF of Numerators i.e. for 2399,9671 is 1

LCM of denominators i.e. for 197,197 is 197.

Thus, GCF of Fractions is 1/197.Finally, GCF of Fractions for 2399/197, 9671/197 is 1/197.