GCD of 213, 720, 903, 972 Calculator

Given Input numbers are 213, 720, 903, 972

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

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 903 :

The positive integer divisors of 903 that completely divides 903 are.

1, 3, 7, 21, 43, 129, 301, 903

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 (213, 720, 903, 972) = 3.

Given numbers are 213, 720, 903, 972

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 903 are 3 x 7 x 43

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 213, 720, 903, 972 is 3.

Given numbers are 213, 720, 903, 972

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

Apply this formula for all numbers.

Step1:

LCM(213, 720) = 51120

GCD(213, 720) = ( 213 x 720 ) / 51120

= 213 / 720

= 213

Step2:

LCM(3, 903) = 903

GCD(3, 903) = ( 3 x 903 ) / 903

= 3 / 903

= 3

Step3:

LCM(3, 972) = 972

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

= 3 / 972

= 3

So, Greatest Common Divisor of 213, 720, 903, 972 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 915, 778, 663
• GCD of 923, 418, 646, 916
• GCD of 953, 634, 804, 508
• GCD of 253, 813, 731, 123
• GCD of 337, 110, 554, 322

Given numbers are 213, 720, 903, 972
The greatest common divisor of numbers 213, 720, 903, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 720, 903, 972 is 3.

1. What is the GCD of 213, 720, 903, 972?

GCD of given numbers 213, 720, 903, 972 is 3

2. How to calculate the greatest common divisor of 213, 720, 903, 972?

We can find the highest common divisor of 213, 720, 903, 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 213, 720, 903, 972 i.e 3.

3. How can I use the GCD of 213, 720, 903, 972Calculator?

Out the numbers 213, 720, 903, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.