GCD of 580, 228, 972, 176 Calculator

Given Input numbers are 580, 228, 972, 176

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

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

GCD of numbers is the greatest common divisor

So, the GCD (580, 228, 972, 176) = 4.

Given numbers are 580, 228, 972, 176

The list of prime factors of all numbers are

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

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2²

Therefore, GCD of 580, 228, 972, 176 is 4.

Given numbers are 580, 228, 972, 176

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

Apply this formula for all numbers.

Step1:

LCM(580, 228) = 33060

GCD(580, 228) = ( 580 x 228 ) / 33060

= 580 / 228

= 580

Step2:

LCM(4, 972) = 972

GCD(4, 972) = ( 4 x 972 ) / 972

= 4 / 972

= 4

Step3:

LCM(4, 176) = 176

GCD(4, 176) = ( 4 x 176 ) / 176

= 4 / 176

= 4

So, Greatest Common Divisor of 580, 228, 972, 176 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 464, 798, 875
• GCD of 460, 414, 933, 539
• GCD of 117, 652, 360, 690
• GCD of 118, 752, 356, 972
• GCD of 473, 883, 150, 517

Given numbers are 580, 228, 972, 176
The greatest common divisor of numbers 580, 228, 972, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 228, 972, 176 is 4.

1. What is the GCD of 580, 228, 972, 176?

GCD of given numbers 580, 228, 972, 176 is 4

2. How to calculate the greatest common divisor of 580, 228, 972, 176?

We can find the highest common divisor of 580, 228, 972, 176 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 580, 228, 972, 176 i.e 4.

3. How can I use the GCD of 580, 228, 972, 176Calculator?

Out the numbers 580, 228, 972, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.