GCD of 372, 454, 596, 108 Calculator

Given Input numbers are 372, 454, 596, 108

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 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (372, 454, 596, 108) = 2.

Given numbers are 372, 454, 596, 108

The list of prime factors of all numbers are

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

Prime factors of 454 are 2 x 227

Prime factors of 596 are 2 x 2 x 149

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 372, 454, 596, 108 is 2.

Given numbers are 372, 454, 596, 108

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

Apply this formula for all numbers.

Step1:

LCM(372, 454) = 84444

GCD(372, 454) = ( 372 x 454 ) / 84444

= 372 / 454

= 372

Step2:

LCM(2, 596) = 596

GCD(2, 596) = ( 2 x 596 ) / 596

= 2 / 596

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 372, 454, 596, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 712, 398, 839
• GCD of 249, 472, 947, 761
• GCD of 390, 110, 493, 735
• GCD of 277, 994, 902, 460
• GCD of 148, 484, 240, 916

Given numbers are 372, 454, 596, 108
The greatest common divisor of numbers 372, 454, 596, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 454, 596, 108 is 2.

1. What is the GCD of 372, 454, 596, 108?

GCD of given numbers 372, 454, 596, 108 is 2

2. How to calculate the greatest common divisor of 372, 454, 596, 108?

We can find the highest common divisor of 372, 454, 596, 108 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, 454, 596, 108 i.e 2.

3. How can I use the GCD of 372, 454, 596, 108Calculator?

Out the numbers 372, 454, 596, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.