GCD of 372, 909, 543, 996 Calculator

Given Input numbers are 372, 909, 543, 996

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 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (372, 909, 543, 996) = 3.

Given numbers are 372, 909, 543, 996

The list of prime factors of all numbers are

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

Prime factors of 909 are 3 x 3 x 101

Prime factors of 543 are 3 x 181

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 372, 909, 543, 996 is 3.

Given numbers are 372, 909, 543, 996

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

Apply this formula for all numbers.

Step1:

LCM(372, 909) = 112716

GCD(372, 909) = ( 372 x 909 ) / 112716

= 372 / 909

= 372

Step2:

LCM(3, 543) = 543

GCD(3, 543) = ( 3 x 543 ) / 543

= 3 / 543

= 3

Step3:

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

= 3 / 996

= 3

So, Greatest Common Divisor of 372, 909, 543, 996 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 321, 530, 462
• GCD of 701, 916, 653, 198
• GCD of 624, 694, 729, 300
• GCD of 883, 738, 981, 180
• GCD of 431, 396, 529, 304

Given numbers are 372, 909, 543, 996
The greatest common divisor of numbers 372, 909, 543, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 909, 543, 996 is 3.

1. What is the GCD of 372, 909, 543, 996?

GCD of given numbers 372, 909, 543, 996 is 3

2. How to calculate the greatest common divisor of 372, 909, 543, 996?

We can find the highest common divisor of 372, 909, 543, 996 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, 909, 543, 996 i.e 3.

3. How can I use the GCD of 372, 909, 543, 996Calculator?

Out the numbers 372, 909, 543, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.