Greatest Common Factor of 9007/541, 1644/6176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9007/541, 1644/6176

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 9007/541,1644/6176

Given fractions are 9007/541,1644/6176

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 9007,1644

Greatest Common Factor of Numerators i.e. GCF of 9007,1644 is 1 .

LCM of Denominators means LCM of 541,6176 as per the given fractions.

LCM of 541,6176 is 3341216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9007,1644

GCF of Fractions 9007/541,1644/6176 is 1/3341216

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

Greatest Common Factor of 9007,1644 By Matching Biggest Common Factor Method

Greatest Common Factor of 9007,1644 By Matching Biggest Common Factor Method

Factors of 9007

List of positive integer factors of 9007 that divides 9007 without a remainder.

1,9007

Factors of 1644

List of positive integer factors of 1644 that divides 1644 without a remainder.

1,2,3,4,6,12,137,274,411,548,822,1644

Greatest Common Factor

We found the factors 9007,1644 . The biggest common factor number is the GCF number.
So the greatest common factor 9007,1644 is 1.

Lets's calculate LCM of 541,6176

Given numbers has no common factors except 1. So, there LCM is their product i.e 3341216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3341216

Therefore, the GCF of Fractions 9007/541,1644/6176 is 1/3341216

Least Common Multiple of 541,6176 with GCF Formula

Least Common Multiple of 541,6176 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 541,6176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,6176) = 1

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

GCF(541,6176) x common factors =1 x 1 = 1

LCM(541,6176) = ( 541 × 6176 ) / 1

LCM(541,6176) = 3341216 / 1

LCM(541,6176) = 3341216


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 9007/541, 1644/6176

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 9007/541, 1644/6176?

Answer: GCF of Numerators as per given numbers 9007/541, 1644/6176 is

GCF of Numerators i.e. for 9007,1644 is 1

LCM of denominators i.e. for 541,6176 is 3341216.

Thus, GCF of Fractions is 1/3341216.Finally, GCF of Fractions for 9007/541, 1644/6176 is 1/3341216.