GCD of 608, 972, 580, 658 Calculator

Given Input numbers are 608, 972, 580, 658

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

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

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 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 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (608, 972, 580, 658) = 2.

Given numbers are 608, 972, 580, 658

The list of prime factors of all numbers are

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

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

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

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 2¹

Therefore, GCD of 608, 972, 580, 658 is 2.

Given numbers are 608, 972, 580, 658

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

Apply this formula for all numbers.

Step1:

LCM(608, 972) = 147744

GCD(608, 972) = ( 608 x 972 ) / 147744

= 608 / 972

= 608

Step2:

LCM(4, 580) = 580

GCD(4, 580) = ( 4 x 580 ) / 580

= 4 / 580

= 4

Step3:

LCM(4, 658) = 1316

GCD(4, 658) = ( 4 x 658 ) / 1316

= 4 / 658

= 4

So, Greatest Common Divisor of 608, 972, 580, 658 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 862, 860, 165
• GCD of 350, 799, 209, 785
• GCD of 962, 156, 261, 542
• GCD of 532, 853, 295, 191
• GCD of 439, 965, 737, 837

Given numbers are 608, 972, 580, 658
The greatest common divisor of numbers 608, 972, 580, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 608, 972, 580, 658 is 2.

1. What is the GCD of 608, 972, 580, 658?

GCD of given numbers 608, 972, 580, 658 is 2

2. How to calculate the greatest common divisor of 608, 972, 580, 658?

We can find the highest common divisor of 608, 972, 580, 658 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 608, 972, 580, 658 i.e 2.

3. How can I use the GCD of 608, 972, 580, 658Calculator?

Out the numbers 608, 972, 580, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.