GCD of 825, 210, 570, 747 Calculator

Given Input numbers are 825, 210, 570, 747

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (825, 210, 570, 747) = 3.

Given numbers are 825, 210, 570, 747

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 747 are 3 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 825, 210, 570, 747 is 3.

Given numbers are 825, 210, 570, 747

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

Apply this formula for all numbers.

Step1:

LCM(825, 210) = 11550

GCD(825, 210) = ( 825 x 210 ) / 11550

= 825 / 210

= 825

Step2:

LCM(15, 570) = 570

GCD(15, 570) = ( 15 x 570 ) / 570

= 15 / 570

= 15

Step3:

LCM(15, 747) = 3735

GCD(15, 747) = ( 15 x 747 ) / 3735

= 15 / 747

= 15

So, Greatest Common Divisor of 825, 210, 570, 747 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 412, 864, 681
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Given numbers are 825, 210, 570, 747
The greatest common divisor of numbers 825, 210, 570, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 210, 570, 747 is 3.

1. What is the GCD of 825, 210, 570, 747?

GCD of given numbers 825, 210, 570, 747 is 3

2. How to calculate the greatest common divisor of 825, 210, 570, 747?

We can find the highest common divisor of 825, 210, 570, 747 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 825, 210, 570, 747 i.e 3.

3. How can I use the GCD of 825, 210, 570, 747Calculator?

Out the numbers 825, 210, 570, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.