GCD of 752, 522, 470, 792 Calculator

Given Input numbers are 752, 522, 470, 792

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

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

GCD of numbers is the greatest common divisor

So, the GCD (752, 522, 470, 792) = 2.

Given numbers are 752, 522, 470, 792

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

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

Prime factors of 470 are 2 x 5 x 47

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

The highest common occurrence is 2¹

Therefore, GCD of 752, 522, 470, 792 is 2.

Given numbers are 752, 522, 470, 792

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

Apply this formula for all numbers.

Step1:

LCM(752, 522) = 196272

GCD(752, 522) = ( 752 x 522 ) / 196272

= 752 / 522

= 752

Step2:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2

Step3:

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

= 2 / 792

= 2

So, Greatest Common Divisor of 752, 522, 470, 792 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 704, 777, 999
• GCD of 305, 789, 693, 653
• GCD of 347, 138, 598, 165
• GCD of 222, 869, 526, 882
• GCD of 664, 751, 358, 625

Given numbers are 752, 522, 470, 792
The greatest common divisor of numbers 752, 522, 470, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 522, 470, 792 is 2.

1. What is the GCD of 752, 522, 470, 792?

GCD of given numbers 752, 522, 470, 792 is 2

2. How to calculate the greatest common divisor of 752, 522, 470, 792?

We can find the highest common divisor of 752, 522, 470, 792 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 752, 522, 470, 792 i.e 2.

3. How can I use the GCD of 752, 522, 470, 792Calculator?

Out the numbers 752, 522, 470, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.