GCD of 456, 170, 728, 660 Calculator

Given Input numbers are 456, 170, 728, 660

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (456, 170, 728, 660) = 2.

Given numbers are 456, 170, 728, 660

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 170 are 2 x 5 x 17

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 456, 170, 728, 660 is 2.

Given numbers are 456, 170, 728, 660

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

Apply this formula for all numbers.

Step1:

LCM(456, 170) = 38760

GCD(456, 170) = ( 456 x 170 ) / 38760

= 456 / 170

= 456

Step2:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

Step3:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

So, Greatest Common Divisor of 456, 170, 728, 660 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 980, 265, 883
• GCD of 604, 925, 373, 559
• GCD of 154, 725, 389, 947
• GCD of 564, 400, 795, 185
• GCD of 363, 447, 415, 411

Given numbers are 456, 170, 728, 660
The greatest common divisor of numbers 456, 170, 728, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 170, 728, 660 is 2.

1. What is the GCD of 456, 170, 728, 660?

GCD of given numbers 456, 170, 728, 660 is 2

2. How to calculate the greatest common divisor of 456, 170, 728, 660?

We can find the highest common divisor of 456, 170, 728, 660 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 456, 170, 728, 660 i.e 2.

3. How can I use the GCD of 456, 170, 728, 660Calculator?

Out the numbers 456, 170, 728, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.