Greatest Common Factor of 301/840, 9097/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 301/840, 9097/970

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 301/840,9097/970

Given fractions are 301/840,9097/970

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 301,9097

Greatest Common Factor of Numerators i.e. GCF of 301,9097 is 1 .

LCM of Denominators means LCM of 840,970 as per the given fractions.

LCM of 840,970 is 81480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 301,9097

GCF of Fractions 301/840,9097/970 is 1/81480

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

Greatest Common Factor of 301,9097 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,9097 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 9097

List of positive integer factors of 9097 that divides 9097 without a remainder.

1,11,827,9097

Greatest Common Factor

We found the factors 301,9097 . The biggest common factor number is the GCF number.
So the greatest common factor 301,9097 is 1.

Lets's calculate LCM of 840,970

2 840, 970
5 420, 485
84, 97

∴ So the LCM of the given numbers is 2 x 5 x 84 x 97 = 81480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81480

Therefore, the GCF of Fractions 301/840,9097/970 is 1/81480

Least Common Multiple of 840,970 with GCF Formula

Least Common Multiple of 840,970 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 840,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,970) = 10

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

GCF(840,970) x common factors =10 x 1 = 10

LCM(840,970) = ( 840 × 970 ) / 10

LCM(840,970) = 814800 / 10

LCM(840,970) = 81480


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 301/840, 9097/970

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 301/840, 9097/970?

Answer: GCF of Numerators as per given numbers 301/840, 9097/970 is

GCF of Numerators i.e. for 301,9097 is 1

LCM of denominators i.e. for 840,970 is 81480.

Thus, GCF of Fractions is 1/81480.Finally, GCF of Fractions for 301/840, 9097/970 is 1/81480.