Greatest Common Factor of 9700/217, 7817/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 9700/217, 7817/307

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 9700/217,7817/307

Given fractions are 9700/217,7817/307

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 9700,7817

Greatest Common Factor of Numerators i.e. GCF of 9700,7817 is 1 .

LCM of Denominators means LCM of 217,307 as per the given fractions.

LCM of 217,307 is 66619 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9700,7817

GCF of Fractions 9700/217,7817/307 is 1/66619

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

Greatest Common Factor of 9700,7817 By Matching Biggest Common Factor Method

Greatest Common Factor of 9700,7817 By Matching Biggest Common Factor Method

Factors of 9700

List of positive integer factors of 9700 that divides 9700 without a remainder.

1,2,4,5,10,20,25,50,97,100,194,388,485,970,1940,2425,4850,9700

Factors of 7817

List of positive integer factors of 7817 that divides 7817 without a remainder.

1,7817

Greatest Common Factor

We found the factors 9700,7817 . The biggest common factor number is the GCF number.
So the greatest common factor 9700,7817 is 1.


Lets's calculate LCM of 217,307

Given numbers has no common factors except 1. So, there LCM is their product i.e 66619

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66619

Therefore, the GCF of Fractions 9700/217,7817/307 is 1/66619

Least Common Multiple of 217,307 with GCF Formula

Least Common Multiple of 217,307 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 217,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,307) = 1

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

GCF(217,307) x common factors =1 x 1 = 1

LCM(217,307) = ( 217 × 307 ) / 1

LCM(217,307) = 66619 / 1

LCM(217,307) = 66619


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 9700/217, 7817/307

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 9700/217, 7817/307?

Answer: GCF of Numerators as per given numbers 9700/217, 7817/307 is

GCF of Numerators i.e. for 9700,7817 is 1

LCM of denominators i.e. for 217,307 is 66619.

Thus, GCF of Fractions is 1/66619.Finally, GCF of Fractions for 9700/217, 7817/307 is 1/66619.