GCD of 465, 171, 852, 580 Calculator

Given Input numbers are 465, 171, 852, 580

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD of numbers is the greatest common divisor

So, the GCD (465, 171, 852, 580) = 1.

Given numbers are 465, 171, 852, 580

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 171 are 3 x 3 x 19

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 580 are 2 x 2 x 5 x 29

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

Given numbers are 465, 171, 852, 580

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

Apply this formula for all numbers.

Step1:

LCM(465, 171) = 26505

GCD(465, 171) = ( 465 x 171 ) / 26505

= 465 / 171

= 465

Step2:

LCM(3, 852) = 852

GCD(3, 852) = ( 3 x 852 ) / 852

= 3 / 852

= 3

Step3:

LCM(3, 580) = 1740

GCD(3, 580) = ( 3 x 580 ) / 1740

= 3 / 580

= 3

So, Greatest Common Divisor of 465, 171, 852, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 258, 153, 874
• GCD of 314, 578, 135, 249
• GCD of 575, 163, 971, 123
• GCD of 475, 345, 297, 350
• GCD of 709, 817, 895, 403

Given numbers are 465, 171, 852, 580
The greatest common divisor of numbers 465, 171, 852, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 171, 852, 580 is 1.

1. What is the GCD of 465, 171, 852, 580?

GCD of given numbers 465, 171, 852, 580 is 1

2. How to calculate the greatest common divisor of 465, 171, 852, 580?

We can find the highest common divisor of 465, 171, 852, 580 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 465, 171, 852, 580 i.e 1.

3. How can I use the GCD of 465, 171, 852, 580Calculator?

Out the numbers 465, 171, 852, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.