GCD of 252, 372, 51, 420 Calculator

Given Input numbers are 252, 372, 51, 420

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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 51 :

The positive integer divisors of 51 that completely divides 51 are.

1, 3, 17, 51

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (252, 372, 51, 420) = 3.

Given numbers are 252, 372, 51, 420

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

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

Prime factors of 51 are 3 x 17

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 252, 372, 51, 420 is 3.

Given numbers are 252, 372, 51, 420

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

Apply this formula for all numbers.

Step1:

LCM(252, 372) = 7812

GCD(252, 372) = ( 252 x 372 ) / 7812

= 252 / 372

= 252

Step2:

LCM(12, 51) = 204

GCD(12, 51) = ( 12 x 51 ) / 204

= 12 / 51

= 12

Step3:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

So, Greatest Common Divisor of 252, 372, 51, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 467, 676, 90, 523
• GCD of 349, 434, 17, 856
• GCD of 295, 336, 76, 397
• GCD of 943, 973, 27, 807
• GCD of 185, 550, 30, 271

Given numbers are 252, 372, 51, 420
The greatest common divisor of numbers 252, 372, 51, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 372, 51, 420 is 3.

1. What is the GCD of 252, 372, 51, 420?

GCD of given numbers 252, 372, 51, 420 is 3

2. How to calculate the greatest common divisor of 252, 372, 51, 420?

We can find the highest common divisor of 252, 372, 51, 420 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 252, 372, 51, 420 i.e 3.

3. How can I use the GCD of 252, 372, 51, 420Calculator?

Out the numbers 252, 372, 51, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.