GCD of 420, 756, 252 Calculator

Given Input numbers are 420, 756, 252

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

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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

GCD of numbers is the greatest common divisor

So, the GCD (420, 756, 252) = 84.

Given numbers are 420, 756, 252

The list of prime factors of all numbers are

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

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

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

The highest common occurrence is 2² x 3¹ x 7¹

Therefore, GCD of 420, 756, 252 is 84.

Given numbers are 420, 756, 252

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

Apply this formula for all numbers.

Step1:

LCM(420, 756) = 3780

GCD(420, 756) = ( 420 x 756 ) / 3780

= 420 / 756

= 420

Step2:

LCM(84, 252) = 252

GCD(84, 252) = ( 84 x 252 ) / 252

= 84 / 252

= 84

So, Greatest Common Divisor of 420, 756, 252 is 84

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 398, 546
• GCD of 480, 495, 663
• GCD of 584, 982, 225
• GCD of 679, 680, 733
• GCD of 577, 574, 259

Given numbers are 420, 756, 252
The greatest common divisor of numbers 420, 756, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 756, 252 is 84.

1. What is the GCD of 420, 756, 252?

GCD of given numbers 420, 756, 252 is 84

2. How to calculate the greatest common divisor of 420, 756, 252?

We can find the highest common divisor of 420, 756, 252 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 420, 756, 252 i.e 84.

3. How can I use the GCD of 420, 756, 252Calculator?

Out the numbers 420, 756, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.