Greatest Common Factor of 9507/329, 1667/4875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9507/329, 1667/4875

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 9507/329,1667/4875

Given fractions are 9507/329,1667/4875

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 9507,1667

Greatest Common Factor of Numerators i.e. GCF of 9507,1667 is 1 .

LCM of Denominators means LCM of 329,4875 as per the given fractions.

LCM of 329,4875 is 1603875 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9507,1667

GCF of Fractions 9507/329,1667/4875 is 1/1603875

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

Greatest Common Factor of 9507,1667 By Matching Biggest Common Factor Method

Greatest Common Factor of 9507,1667 By Matching Biggest Common Factor Method

Factors of 9507

List of positive integer factors of 9507 that divides 9507 without a remainder.

1,3,3169,9507

Factors of 1667

List of positive integer factors of 1667 that divides 1667 without a remainder.

1,1667

Greatest Common Factor

We found the factors 9507,1667 . The biggest common factor number is the GCF number.
So the greatest common factor 9507,1667 is 1.

Lets's calculate LCM of 329,4875

Given numbers has no common factors except 1. So, there LCM is their product i.e 1603875

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1603875

Therefore, the GCF of Fractions 9507/329,1667/4875 is 1/1603875

Least Common Multiple of 329,4875 with GCF Formula

Least Common Multiple of 329,4875 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 329,4875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,4875) = 1

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

GCF(329,4875) x common factors =1 x 1 = 1

LCM(329,4875) = ( 329 × 4875 ) / 1

LCM(329,4875) = 1603875 / 1

LCM(329,4875) = 1603875


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 9507/329, 1667/4875

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 9507/329, 1667/4875?

Answer: GCF of Numerators as per given numbers 9507/329, 1667/4875 is

GCF of Numerators i.e. for 9507,1667 is 1

LCM of denominators i.e. for 329,4875 is 1603875.

Thus, GCF of Fractions is 1/1603875.Finally, GCF of Fractions for 9507/329, 1667/4875 is 1/1603875.