GCD of 525, 585, 972, 744 Calculator

Given Input numbers are 525, 585, 972, 744

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

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

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 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (525, 585, 972, 744) = 3.

Given numbers are 525, 585, 972, 744

The list of prime factors of all numbers are

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 585 are 3 x 3 x 5 x 13

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

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 525, 585, 972, 744 is 3.

Given numbers are 525, 585, 972, 744

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

Apply this formula for all numbers.

Step1:

LCM(525, 585) = 20475

GCD(525, 585) = ( 525 x 585 ) / 20475

= 525 / 585

= 525

Step2:

LCM(15, 972) = 4860

GCD(15, 972) = ( 15 x 972 ) / 4860

= 15 / 972

= 15

Step3:

LCM(3, 744) = 744

GCD(3, 744) = ( 3 x 744 ) / 744

= 3 / 744

= 3

So, Greatest Common Divisor of 525, 585, 972, 744 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 831, 843, 435
• GCD of 845, 970, 974, 727
• GCD of 214, 215, 742, 809
• GCD of 526, 681, 905, 453
• GCD of 321, 610, 369, 900

Given numbers are 525, 585, 972, 744
The greatest common divisor of numbers 525, 585, 972, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 585, 972, 744 is 3.

1. What is the GCD of 525, 585, 972, 744?

GCD of given numbers 525, 585, 972, 744 is 3

2. How to calculate the greatest common divisor of 525, 585, 972, 744?

We can find the highest common divisor of 525, 585, 972, 744 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 525, 585, 972, 744 i.e 3.

3. How can I use the GCD of 525, 585, 972, 744Calculator?

Out the numbers 525, 585, 972, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.