Greatest Common Factor of 197/19, 788/67, 634/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 197/19, 788/67, 634/996

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 197/19,788/67,634/996

Given fractions are 197/19,788/67,634/996

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 197,788,634

Greatest Common Factor of Numerators i.e. GCF of 197,788,634 is 1 .

LCM of Denominators means LCM of 19,67,996 as per the given fractions.

LCM of 19,67,996 is 1267908 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 197,788,634

GCF of Fractions 197/19,788/67,634/996 is 1/1267908

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

Greatest Common Factor of 197,788,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,788,634 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 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 197,788,634 . The biggest common factor number is the GCF number.
So the greatest common factor 197,788,634 is 1.


Lets's calculate LCM of 19,67,996

Given numbers has no common factors except 1. So, there LCM is their product i.e 1267908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1267908

Therefore, the GCF of Fractions 197/19,788/67,634/996 is 1/1267908

Least Common Multiple of 19,67,996 with GCF Formula

Least Common Multiple of 19,67,996 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 19,67,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,67,996) = 1

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

GCF(19,67,996) x common factors =1 x 1 = 1

LCM(19,67,996) = ( 19 × 67 × 996 ) / 1

LCM(19,67,996) = 1267908 / 1

LCM(19,67,996) = 1267908


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 197/19, 788/67, 634/996

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 197/19, 788/67, 634/996?

Answer: GCF of Numerators as per given numbers 197/19, 788/67, 634/996 is

GCF of Numerators i.e. for 197,788,634 is 1

LCM of denominators i.e. for 19,67,996 is 1267908.

Thus, GCF of Fractions is 1/1267908.Finally, GCF of Fractions for 197/19, 788/67, 634/996 is 1/1267908.