GCD of 552, 780, 232, 284 Calculator

Given Input numbers are 552, 780, 232, 284

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

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

GCD of numbers is the greatest common divisor

So, the GCD (552, 780, 232, 284) = 4.

Given numbers are 552, 780, 232, 284

The list of prime factors of all numbers are

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 284 are 2 x 2 x 71

The highest common occurrence is 2²

Therefore, GCD of 552, 780, 232, 284 is 4.

Given numbers are 552, 780, 232, 284

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

Apply this formula for all numbers.

Step1:

LCM(552, 780) = 35880

GCD(552, 780) = ( 552 x 780 ) / 35880

= 552 / 780

= 552

Step2:

LCM(12, 232) = 696

GCD(12, 232) = ( 12 x 232 ) / 696

= 12 / 232

= 12

Step3:

LCM(4, 284) = 284

GCD(4, 284) = ( 4 x 284 ) / 284

= 4 / 284

= 4

So, Greatest Common Divisor of 552, 780, 232, 284 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 956, 307, 430
• GCD of 640, 132, 814, 564
• GCD of 534, 164, 221, 821
• GCD of 808, 905, 908, 254
• GCD of 342, 971, 897, 573

Given numbers are 552, 780, 232, 284
The greatest common divisor of numbers 552, 780, 232, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 780, 232, 284 is 4.

1. What is the GCD of 552, 780, 232, 284?

GCD of given numbers 552, 780, 232, 284 is 4

2. How to calculate the greatest common divisor of 552, 780, 232, 284?

We can find the highest common divisor of 552, 780, 232, 284 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 552, 780, 232, 284 i.e 4.

3. How can I use the GCD of 552, 780, 232, 284Calculator?

Out the numbers 552, 780, 232, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.