GCD of 600, 492, 471, 972 Calculator

Given Input numbers are 600, 492, 471, 972

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

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

GCD of numbers is the greatest common divisor

So, the GCD (600, 492, 471, 972) = 3.

Given numbers are 600, 492, 471, 972

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 471 are 3 x 157

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

The highest common occurrence is 3¹

Therefore, GCD of 600, 492, 471, 972 is 3.

Given numbers are 600, 492, 471, 972

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

Apply this formula for all numbers.

Step1:

LCM(600, 492) = 24600

GCD(600, 492) = ( 600 x 492 ) / 24600

= 600 / 492

= 600

Step2:

LCM(12, 471) = 1884

GCD(12, 471) = ( 12 x 471 ) / 1884

= 12 / 471

= 12

Step3:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

So, Greatest Common Divisor of 600, 492, 471, 972 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 927, 168, 811, 268
• GCD of 667, 748, 801, 371
• GCD of 750, 929, 903, 945
• GCD of 247, 119, 245, 295
• GCD of 235, 337, 356, 611

Given numbers are 600, 492, 471, 972
The greatest common divisor of numbers 600, 492, 471, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 492, 471, 972 is 3.

1. What is the GCD of 600, 492, 471, 972?

GCD of given numbers 600, 492, 471, 972 is 3

2. How to calculate the greatest common divisor of 600, 492, 471, 972?

We can find the highest common divisor of 600, 492, 471, 972 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 600, 492, 471, 972 i.e 3.

3. How can I use the GCD of 600, 492, 471, 972Calculator?

Out the numbers 600, 492, 471, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.