GCD of 522, 795, 225, 690 Calculator

Given Input numbers are 522, 795, 225, 690

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

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (522, 795, 225, 690) = 3.

Given numbers are 522, 795, 225, 690

The list of prime factors of all numbers are

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 795 are 3 x 5 x 53

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 3¹

Therefore, GCD of 522, 795, 225, 690 is 3.

Given numbers are 522, 795, 225, 690

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

Apply this formula for all numbers.

Step1:

LCM(522, 795) = 138330

GCD(522, 795) = ( 522 x 795 ) / 138330

= 522 / 795

= 522

Step2:

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

= 3 / 225

= 3

Step3:

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

= 3 / 690

= 3

So, Greatest Common Divisor of 522, 795, 225, 690 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 828, 311, 312
• GCD of 326, 379, 356, 511
• GCD of 536, 559, 665, 151
• GCD of 588, 916, 894, 696
• GCD of 111, 477, 946, 654

Given numbers are 522, 795, 225, 690
The greatest common divisor of numbers 522, 795, 225, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 795, 225, 690 is 3.

1. What is the GCD of 522, 795, 225, 690?

GCD of given numbers 522, 795, 225, 690 is 3

2. How to calculate the greatest common divisor of 522, 795, 225, 690?

We can find the highest common divisor of 522, 795, 225, 690 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 522, 795, 225, 690 i.e 3.

3. How can I use the GCD of 522, 795, 225, 690Calculator?

Out the numbers 522, 795, 225, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.