Greatest Common Factor of 9702/334, 5007/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9702/334, 5007/599

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 9702/334,5007/599

Given fractions are 9702/334,5007/599

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 9702,5007

Greatest Common Factor of Numerators i.e. GCF of 9702,5007 is 3 .

LCM of Denominators means LCM of 334,599 as per the given fractions.

LCM of 334,599 is 200066 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9702,5007

GCF of Fractions 9702/334,5007/599 is 3/200066

3 9702, 5007
3234, 1669

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9702,5007 By Matching Biggest Common Factor Method

Greatest Common Factor of 9702,5007 By Matching Biggest Common Factor Method

Factors of 9702

List of positive integer factors of 9702 that divides 9702 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,33,42,49,63,66,77,98,99,126,147,154,198,231,294,441,462,539,693,882,1078,1386,1617,3234,4851,9702

Factors of 5007

List of positive integer factors of 5007 that divides 5007 without a remainder.

1,3,1669,5007

Greatest Common Factor

We found the factors 9702,5007 . The biggest common factor number is the GCF number.
So the greatest common factor 9702,5007 is 3.

Lets's calculate LCM of 334,599

Given numbers has no common factors except 1. So, there LCM is their product i.e 200066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/200066

Therefore, the GCF of Fractions 9702/334,5007/599 is 3/200066

Least Common Multiple of 334,599 with GCF Formula

Least Common Multiple of 334,599 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 334,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,599) = 1

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

GCF(334,599) x common factors =1 x 1 = 1

LCM(334,599) = ( 334 × 599 ) / 1

LCM(334,599) = 200066 / 1

LCM(334,599) = 200066


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 9702/334, 5007/599

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 9702/334, 5007/599?

Answer: GCF of Numerators as per given numbers 9702/334, 5007/599 is

GCF of Numerators i.e. for 9702,5007 is 3

LCM of denominators i.e. for 334,599 is 200066.

Thus, GCF of Fractions is 3/200066.Finally, GCF of Fractions for 9702/334, 5007/599 is 3/200066.