Greatest Common Factor of 9067/48, 1447/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9067/48, 1447/464

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 9067/48,1447/464

Given fractions are 9067/48,1447/464

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 9067,1447

Greatest Common Factor of Numerators i.e. GCF of 9067,1447 is 1 .

LCM of Denominators means LCM of 48,464 as per the given fractions.

LCM of 48,464 is 1392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9067,1447

GCF of Fractions 9067/48,1447/464 is 1/1392

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

Greatest Common Factor of 9067,1447 By Matching Biggest Common Factor Method

Greatest Common Factor of 9067,1447 By Matching Biggest Common Factor Method

Factors of 9067

List of positive integer factors of 9067 that divides 9067 without a remainder.

1,9067

Factors of 1447

List of positive integer factors of 1447 that divides 1447 without a remainder.

1,1447

Greatest Common Factor

We found the factors 9067,1447 . The biggest common factor number is the GCF number.
So the greatest common factor 9067,1447 is 1.

Lets's calculate LCM of 48,464

2 48, 464
2 24, 232
2 12, 116
2 6, 58
3, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 29 = 1392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1392

Therefore, the GCF of Fractions 9067/48,1447/464 is 1/1392

Least Common Multiple of 48,464 with GCF Formula

Least Common Multiple of 48,464 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 48,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,464) = 16

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

GCF(48,464) x common factors =16 x 1 = 16

LCM(48,464) = ( 48 × 464 ) / 16

LCM(48,464) = 22272 / 16

LCM(48,464) = 1392


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 9067/48, 1447/464

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 9067/48, 1447/464?

Answer: GCF of Numerators as per given numbers 9067/48, 1447/464 is

GCF of Numerators i.e. for 9067,1447 is 1

LCM of denominators i.e. for 48,464 is 1392.

Thus, GCF of Fractions is 1/1392.Finally, GCF of Fractions for 9067/48, 1447/464 is 1/1392.