GCD of 500, 972, 742, 606 Calculator

Given Input numbers are 500, 972, 742, 606

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

GCD of numbers is the greatest common divisor

So, the GCD (500, 972, 742, 606) = 2.

Given numbers are 500, 972, 742, 606

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

Prime factors of 742 are 2 x 7 x 53

Prime factors of 606 are 2 x 3 x 101

The highest common occurrence is 2¹

Therefore, GCD of 500, 972, 742, 606 is 2.

Given numbers are 500, 972, 742, 606

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

Apply this formula for all numbers.

Step1:

LCM(500, 972) = 121500

GCD(500, 972) = ( 500 x 972 ) / 121500

= 500 / 972

= 500

Step2:

LCM(4, 742) = 1484

GCD(4, 742) = ( 4 x 742 ) / 1484

= 4 / 742

= 4

Step3:

LCM(2, 606) = 606

GCD(2, 606) = ( 2 x 606 ) / 606

= 2 / 606

= 2

So, Greatest Common Divisor of 500, 972, 742, 606 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 339, 306, 358
• GCD of 442, 864, 704, 593
• GCD of 383, 347, 707, 357
• GCD of 843, 770, 674, 969
• GCD of 371, 638, 646, 156

Given numbers are 500, 972, 742, 606
The greatest common divisor of numbers 500, 972, 742, 606 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 972, 742, 606 is 2.

1. What is the GCD of 500, 972, 742, 606?

GCD of given numbers 500, 972, 742, 606 is 2

2. How to calculate the greatest common divisor of 500, 972, 742, 606?

We can find the highest common divisor of 500, 972, 742, 606 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 500, 972, 742, 606 i.e 2.

3. How can I use the GCD of 500, 972, 742, 606Calculator?

Out the numbers 500, 972, 742, 606 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.