Greatest Common Factor of 197/65, 989/1825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 197/65, 989/1825

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 197/65,989/1825

Given fractions are 197/65,989/1825

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 197,989

Greatest Common Factor of Numerators i.e. GCF of 197,989 is 1 .

LCM of Denominators means LCM of 65,1825 as per the given fractions.

LCM of 65,1825 is 23725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 197,989

GCF of Fractions 197/65,989/1825 is 1/23725

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

Greatest Common Factor of 197,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,989 By Matching Biggest Common Factor Method

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 197,989 . The biggest common factor number is the GCF number.
So the greatest common factor 197,989 is 1.

Lets's calculate LCM of 65,1825

5 65, 1825
13, 365

∴ So the LCM of the given numbers is 5 x 13 x 365 = 23725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23725

Therefore, the GCF of Fractions 197/65,989/1825 is 1/23725

Least Common Multiple of 65,1825 with GCF Formula

Least Common Multiple of 65,1825 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 65,1825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,1825) = 5

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

GCF(65,1825) x common factors =5 x 1 = 5

LCM(65,1825) = ( 65 × 1825 ) / 5

LCM(65,1825) = 118625 / 5

LCM(65,1825) = 23725


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 197/65, 989/1825

1. 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.

2. What is the GCF of Fractions for 197/65, 989/1825?

Answer: GCF of Numerators as per given numbers 197/65, 989/1825 is

GCF of Numerators i.e. for 197,989 is 1

LCM of denominators i.e. for 65,1825 is 23725.

Thus, GCF of Fractions is 1/23725.Finally, GCF of Fractions for 197/65, 989/1825 is 1/23725.