GCD of 792, 138, 225, 522 Calculator

Given Input numbers are 792, 138, 225, 522

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

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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 522 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (792, 138, 225, 522) = 3.

Given numbers are 792, 138, 225, 522

The list of prime factors of all numbers are

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 138 are 2 x 3 x 23

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

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

The highest common occurrence is 3¹

Therefore, GCD of 792, 138, 225, 522 is 3.

Given numbers are 792, 138, 225, 522

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

Apply this formula for all numbers.

Step1:

LCM(792, 138) = 18216

GCD(792, 138) = ( 792 x 138 ) / 18216

= 792 / 138

= 792

Step2:

LCM(6, 225) = 450

GCD(6, 225) = ( 6 x 225 ) / 450

= 6 / 225

= 6

Step3:

LCM(3, 522) = 522

GCD(3, 522) = ( 3 x 522 ) / 522

= 3 / 522

= 3

So, Greatest Common Divisor of 792, 138, 225, 522 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 312, 588, 930
• GCD of 472, 100, 668, 404
• GCD of 805, 810, 866, 802
• GCD of 179, 985, 137, 874
• GCD of 325, 329, 168, 569

Given numbers are 792, 138, 225, 522
The greatest common divisor of numbers 792, 138, 225, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 138, 225, 522 is 3.

1. What is the GCD of 792, 138, 225, 522?

GCD of given numbers 792, 138, 225, 522 is 3

2. How to calculate the greatest common divisor of 792, 138, 225, 522?

We can find the highest common divisor of 792, 138, 225, 522 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 792, 138, 225, 522 i.e 3.

3. How can I use the GCD of 792, 138, 225, 522Calculator?

Out the numbers 792, 138, 225, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.