Greatest Common Factor of 9207/349, 7647/9069

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9207/349, 7647/9069

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 9207/349,7647/9069

Given fractions are 9207/349,7647/9069

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 9207,7647

Greatest Common Factor of Numerators i.e. GCF of 9207,7647 is 3 .

LCM of Denominators means LCM of 349,9069 as per the given fractions.

LCM of 349,9069 is 3165081 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9207,7647

GCF of Fractions 9207/349,7647/9069 is 3/3165081

3 9207, 7647
3069, 2549

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

Greatest Common Factor of 9207,7647 By Matching Biggest Common Factor Method

Greatest Common Factor of 9207,7647 By Matching Biggest Common Factor Method

Factors of 9207

List of positive integer factors of 9207 that divides 9207 without a remainder.

1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207

Factors of 7647

List of positive integer factors of 7647 that divides 7647 without a remainder.

1,3,2549,7647

Greatest Common Factor

We found the factors 9207,7647 . The biggest common factor number is the GCF number.
So the greatest common factor 9207,7647 is 3.

Lets's calculate LCM of 349,9069

Given numbers has no common factors except 1. So, there LCM is their product i.e 3165081

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3165081

Therefore, the GCF of Fractions 9207/349,7647/9069 is 3/3165081

Least Common Multiple of 349,9069 with GCF Formula

Least Common Multiple of 349,9069 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 349,9069 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,9069) = 1

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

GCF(349,9069) x common factors =1 x 1 = 1

LCM(349,9069) = ( 349 × 9069 ) / 1

LCM(349,9069) = 3165081 / 1

LCM(349,9069) = 3165081


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 9207/349, 7647/9069

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 9207/349, 7647/9069?

Answer: GCF of Numerators as per given numbers 9207/349, 7647/9069 is

GCF of Numerators i.e. for 9207,7647 is 3

LCM of denominators i.e. for 349,9069 is 3165081.

Thus, GCF of Fractions is 3/3165081.Finally, GCF of Fractions for 9207/349, 7647/9069 is 3/3165081.