GCD of 468, 252, 772, 578 Calculator

Given Input numbers are 468, 252, 772, 578

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

GCD of numbers is the greatest common divisor

So, the GCD (468, 252, 772, 578) = 2.

Given numbers are 468, 252, 772, 578

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

Prime factors of 772 are 2 x 2 x 193

Prime factors of 578 are 2 x 17 x 17

The highest common occurrence is 2¹

Therefore, GCD of 468, 252, 772, 578 is 2.

Given numbers are 468, 252, 772, 578

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

Apply this formula for all numbers.

Step1:

LCM(468, 252) = 3276

GCD(468, 252) = ( 468 x 252 ) / 3276

= 468 / 252

= 468

Step2:

LCM(36, 772) = 6948

GCD(36, 772) = ( 36 x 772 ) / 6948

= 36 / 772

= 36

Step3:

LCM(4, 578) = 1156

GCD(4, 578) = ( 4 x 578 ) / 1156

= 4 / 578

= 4

So, Greatest Common Divisor of 468, 252, 772, 578 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 761, 787, 915
• GCD of 634, 932, 514, 147
• GCD of 556, 339, 176, 350
• GCD of 817, 928, 997, 196
• GCD of 231, 567, 671, 219

Given numbers are 468, 252, 772, 578
The greatest common divisor of numbers 468, 252, 772, 578 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 252, 772, 578 is 2.

1. What is the GCD of 468, 252, 772, 578?

GCD of given numbers 468, 252, 772, 578 is 2

2. How to calculate the greatest common divisor of 468, 252, 772, 578?

We can find the highest common divisor of 468, 252, 772, 578 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 468, 252, 772, 578 i.e 2.

3. How can I use the GCD of 468, 252, 772, 578Calculator?

Out the numbers 468, 252, 772, 578 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.