GCD of 372, 846, 609, 564 Calculator

Given Input numbers are 372, 846, 609, 564

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

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (372, 846, 609, 564) = 3.

Given numbers are 372, 846, 609, 564

The list of prime factors of all numbers are

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 609 are 3 x 7 x 29

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 372, 846, 609, 564 is 3.

Given numbers are 372, 846, 609, 564

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

Apply this formula for all numbers.

Step1:

LCM(372, 846) = 52452

GCD(372, 846) = ( 372 x 846 ) / 52452

= 372 / 846

= 372

Step2:

LCM(6, 609) = 1218

GCD(6, 609) = ( 6 x 609 ) / 1218

= 6 / 609

= 6

Step3:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

So, Greatest Common Divisor of 372, 846, 609, 564 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 953, 162, 983
• GCD of 379, 402, 548, 774
• GCD of 144, 372, 342, 287
• GCD of 511, 717, 580, 501
• GCD of 417, 445, 341, 115

Given numbers are 372, 846, 609, 564
The greatest common divisor of numbers 372, 846, 609, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 846, 609, 564 is 3.

1. What is the GCD of 372, 846, 609, 564?

GCD of given numbers 372, 846, 609, 564 is 3

2. How to calculate the greatest common divisor of 372, 846, 609, 564?

We can find the highest common divisor of 372, 846, 609, 564 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 372, 846, 609, 564 i.e 3.

3. How can I use the GCD of 372, 846, 609, 564Calculator?

Out the numbers 372, 846, 609, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.