GCD of 280, 478, 12, 564 Calculator

Given Input numbers are 280, 478, 12, 564

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 12 :

The positive integer divisors of 12 that completely divides 12 are.

1, 2, 3, 4, 6, 12

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (280, 478, 12, 564) = 2.

Given numbers are 280, 478, 12, 564

The list of prime factors of all numbers are

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 478 are 2 x 239

Prime factors of 12 are 2 x 2 x 3

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 280, 478, 12, 564 is 2.

Given numbers are 280, 478, 12, 564

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

Apply this formula for all numbers.

Step1:

LCM(280, 478) = 66920

GCD(280, 478) = ( 280 x 478 ) / 66920

= 280 / 478

= 280

Step2:

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

= 2 / 12

= 2

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 280, 478, 12, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 477, 54, 885
• GCD of 504, 141, 91, 843
• GCD of 973, 689, 11, 747
• GCD of 933, 416, 49, 240
• GCD of 238, 722, 79, 197

Given numbers are 280, 478, 12, 564
The greatest common divisor of numbers 280, 478, 12, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 478, 12, 564 is 2.

1. What is the GCD of 280, 478, 12, 564?

GCD of given numbers 280, 478, 12, 564 is 2

2. How to calculate the greatest common divisor of 280, 478, 12, 564?

We can find the highest common divisor of 280, 478, 12, 564 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 280, 478, 12, 564 i.e 2.

3. How can I use the GCD of 280, 478, 12, 564Calculator?

Out the numbers 280, 478, 12, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.