Greatest Common Factor of 1481/359, 3586/3553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 1481/359, 3586/3553

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 1481/359,3586/3553

Given fractions are 1481/359,3586/3553

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 1481,3586

Greatest Common Factor of Numerators i.e. GCF of 1481,3586 is 1 .

LCM of Denominators means LCM of 359,3553 as per the given fractions.

LCM of 359,3553 is 1275527 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1481,3586

GCF of Fractions 1481/359,3586/3553 is 1/1275527

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

Greatest Common Factor of 1481,3586 By Matching Biggest Common Factor Method

Greatest Common Factor of 1481,3586 By Matching Biggest Common Factor Method

Factors of 1481

List of positive integer factors of 1481 that divides 1481 without a remainder.

1,1481

Factors of 3586

List of positive integer factors of 3586 that divides 3586 without a remainder.

1,2,11,22,163,326,1793,3586

Greatest Common Factor

We found the factors 1481,3586 . The biggest common factor number is the GCF number.
So the greatest common factor 1481,3586 is 1.


Lets's calculate LCM of 359,3553

Given numbers has no common factors except 1. So, there LCM is their product i.e 1275527

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1275527

Therefore, the GCF of Fractions 1481/359,3586/3553 is 1/1275527

Least Common Multiple of 359,3553 with GCF Formula

Least Common Multiple of 359,3553 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 359,3553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,3553) = 1

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

GCF(359,3553) x common factors =1 x 1 = 1

LCM(359,3553) = ( 359 × 3553 ) / 1

LCM(359,3553) = 1275527 / 1

LCM(359,3553) = 1275527


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 1481/359, 3586/3553

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 1481/359, 3586/3553?

Answer: GCF of Numerators as per given numbers 1481/359, 3586/3553 is

GCF of Numerators i.e. for 1481,3586 is 1

LCM of denominators i.e. for 359,3553 is 1275527.

Thus, GCF of Fractions is 1/1275527.Finally, GCF of Fractions for 1481/359, 3586/3553 is 1/1275527.