Greatest Common Factor of 1321/45, 9417/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1321/45, 9417/285

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 1321/45,9417/285

Given fractions are 1321/45,9417/285

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 1321,9417

Greatest Common Factor of Numerators i.e. GCF of 1321,9417 is 1 .

LCM of Denominators means LCM of 45,285 as per the given fractions.

LCM of 45,285 is 855 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1321,9417

GCF of Fractions 1321/45,9417/285 is 1/855

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

Greatest Common Factor of 1321,9417 By Matching Biggest Common Factor Method

Greatest Common Factor of 1321,9417 By Matching Biggest Common Factor Method

Factors of 1321

List of positive integer factors of 1321 that divides 1321 without a remainder.

1,1321

Factors of 9417

List of positive integer factors of 9417 that divides 9417 without a remainder.

1,3,43,73,129,219,3139,9417

Greatest Common Factor

We found the factors 1321,9417 . The biggest common factor number is the GCF number.
So the greatest common factor 1321,9417 is 1.

Lets's calculate LCM of 45,285

3 45, 285
5 15, 95
3, 19

∴ So the LCM of the given numbers is 3 x 5 x 3 x 19 = 855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/855

Therefore, the GCF of Fractions 1321/45,9417/285 is 1/855

Least Common Multiple of 45,285 with GCF Formula

Least Common Multiple of 45,285 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 45,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,285) = 15

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

GCF(45,285) x common factors =15 x 1 = 15

LCM(45,285) = ( 45 × 285 ) / 15

LCM(45,285) = 12825 / 15

LCM(45,285) = 855


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 1321/45, 9417/285

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 1321/45, 9417/285?

Answer: GCF of Numerators as per given numbers 1321/45, 9417/285 is

GCF of Numerators i.e. for 1321,9417 is 1

LCM of denominators i.e. for 45,285 is 855.

Thus, GCF of Fractions is 1/855.Finally, GCF of Fractions for 1321/45, 9417/285 is 1/855.