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GCD of 270, 587, 74 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 270, 587, 74 quickly. Get the easiest ways to solve the greatest common divisor of 270, 587, 74 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 270, 587, 74 with Factoring?

Given Input numbers are 270, 587, 74

In the factoring method, we have to find the divisors of all numbers

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 587 :

The positive integer divisors of 587 that completely divides 587 are.

1, 587

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74


GCD of numbers is the greatest common divisor

So, the GCD (270, 587, 74) = 1.

Find GCD of 270, 587, 74 using Prime Factorization

Given numbers are 270, 587, 74

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 587 are 587

Prime factors of 74 are 2 x 37

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 270, 587, 74 using LCM Formula

Given numbers are 270, 587, 74

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(270, 587) = 158490

GCD(270, 587) = ( 270 x 587 ) / 158490

= 270 / 587

= 270


Step2:

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

= 1 / 74

= 1


So, Greatest Common Divisor of 270, 587, 74 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 270, 587, 74

Given numbers are 270, 587, 74
The greatest common divisor of numbers 270, 587, 74 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 587, 74 is 1.

FAQs on GCD of 270, 587, 74 Calculator

1. What is the GCD of 270, 587, 74?

GCD of given numbers 270, 587, 74 is 1


2. How to calculate the greatest common divisor of 270, 587, 74?

We can find the highest common divisor of 270, 587, 74 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 270, 587, 74 i.e 1.


3. How can I use the GCD of 270, 587, 74Calculator?

Out the numbers 270, 587, 74 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.