GCD of 270, 460, 132, 617 Calculator

Given Input numbers are 270, 460, 132, 617

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

GCD of numbers is the greatest common divisor

So, the GCD (270, 460, 132, 617) = 1.

Given numbers are 270, 460, 132, 617

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 460 are 2 x 2 x 5 x 23

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 617 are 617

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

Given numbers are 270, 460, 132, 617

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

Apply this formula for all numbers.

Step1:

LCM(270, 460) = 12420

GCD(270, 460) = ( 270 x 460 ) / 12420

= 270 / 460

= 270

Step2:

LCM(10, 132) = 660

GCD(10, 132) = ( 10 x 132 ) / 660

= 10 / 132

= 10

Step3:

LCM(2, 617) = 1234

GCD(2, 617) = ( 2 x 617 ) / 1234

= 2 / 617

= 2

So, Greatest Common Divisor of 270, 460, 132, 617 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 717, 703, 274, 462
• GCD of 590, 440, 547, 699
• GCD of 271, 448, 660, 405
• GCD of 726, 728, 172, 179
• GCD of 233, 431, 749, 615

Given numbers are 270, 460, 132, 617
The greatest common divisor of numbers 270, 460, 132, 617 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 460, 132, 617 is 1.

1. What is the GCD of 270, 460, 132, 617?

GCD of given numbers 270, 460, 132, 617 is 1

2. How to calculate the greatest common divisor of 270, 460, 132, 617?

We can find the highest common divisor of 270, 460, 132, 617 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, 460, 132, 617 i.e 1.

3. How can I use the GCD of 270, 460, 132, 617Calculator?

Out the numbers 270, 460, 132, 617 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.