GCD of 624, 423, 765, 852 Calculator

Given Input numbers are 624, 423, 765, 852

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (624, 423, 765, 852) = 3.

Given numbers are 624, 423, 765, 852

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 423 are 3 x 3 x 47

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 852 are 2 x 2 x 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 624, 423, 765, 852 is 3.

Given numbers are 624, 423, 765, 852

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

Apply this formula for all numbers.

Step1:

LCM(624, 423) = 87984

GCD(624, 423) = ( 624 x 423 ) / 87984

= 624 / 423

= 624

Step2:

LCM(3, 765) = 765

GCD(3, 765) = ( 3 x 765 ) / 765

= 3 / 765

= 3

Step3:

LCM(3, 852) = 852

GCD(3, 852) = ( 3 x 852 ) / 852

= 3 / 852

= 3

So, Greatest Common Divisor of 624, 423, 765, 852 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 246, 601, 165
• GCD of 324, 250, 599, 967
• GCD of 551, 222, 859, 778
• GCD of 355, 298, 430, 352
• GCD of 588, 987, 259, 366

Given numbers are 624, 423, 765, 852
The greatest common divisor of numbers 624, 423, 765, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 423, 765, 852 is 3.

1. What is the GCD of 624, 423, 765, 852?

GCD of given numbers 624, 423, 765, 852 is 3

2. How to calculate the greatest common divisor of 624, 423, 765, 852?

We can find the highest common divisor of 624, 423, 765, 852 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 624, 423, 765, 852 i.e 3.

3. How can I use the GCD of 624, 423, 765, 852Calculator?

Out the numbers 624, 423, 765, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.