Greatest Common Factor of 97/984, 213/744, 409/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/984, 213/744, 409/235

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 97/984,213/744,409/235

Given fractions are 97/984,213/744,409/235

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 97,213,409

Greatest Common Factor of Numerators i.e. GCF of 97,213,409 is 1 .

LCM of Denominators means LCM of 984,744,235 as per the given fractions.

LCM of 984,744,235 is 7168440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,213,409

GCF of Fractions 97/984,213/744,409/235 is 1/7168440

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

Greatest Common Factor of 97,213,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,213,409 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 97,213,409 . The biggest common factor number is the GCF number.
So the greatest common factor 97,213,409 is 1.

Lets's calculate LCM of 984,744,235

2 984, 744, 235
2 492, 372, 235
2 246, 186, 235
3 123, 93, 235
41, 31, 235

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 41 x 31 x 235 = 7168440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7168440

Therefore, the GCF of Fractions 97/984,213/744,409/235 is 1/7168440

Least Common Multiple of 984,744,235 with GCF Formula

Least Common Multiple of 984,744,235 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 984,744,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,744,235) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(984,744,235) x common factors =1 x 24 = 24

LCM(984,744,235) = ( 984 × 744 × 235 ) / 24

LCM(984,744,235) = 172042560 / 24

LCM(984,744,235) = 7168440


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 97/984, 213/744, 409/235

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 97/984, 213/744, 409/235?

Answer: GCF of Numerators as per given numbers 97/984, 213/744, 409/235 is

GCF of Numerators i.e. for 97,213,409 is 1

LCM of denominators i.e. for 984,744,235 is 7168440.

Thus, GCF of Fractions is 1/7168440.Finally, GCF of Fractions for 97/984, 213/744, 409/235 is 1/7168440.