GCD of 566, 556, 142, 120 Calculator

Given Input numbers are 566, 556, 142, 120

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

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (566, 556, 142, 120) = 2.

Given numbers are 566, 556, 142, 120

The list of prime factors of all numbers are

Prime factors of 566 are 2 x 283

Prime factors of 556 are 2 x 2 x 139

Prime factors of 142 are 2 x 71

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 566, 556, 142, 120 is 2.

Given numbers are 566, 556, 142, 120

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

Apply this formula for all numbers.

Step1:

LCM(566, 556) = 157348

GCD(566, 556) = ( 566 x 556 ) / 157348

= 566 / 556

= 566

Step2:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 566, 556, 142, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 160, 468, 424
• GCD of 635, 846, 436, 717
• GCD of 689, 866, 501, 665
• GCD of 933, 957, 479, 951
• GCD of 406, 493, 229, 199

Given numbers are 566, 556, 142, 120
The greatest common divisor of numbers 566, 556, 142, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 566, 556, 142, 120 is 2.

1. What is the GCD of 566, 556, 142, 120?

GCD of given numbers 566, 556, 142, 120 is 2

2. How to calculate the greatest common divisor of 566, 556, 142, 120?

We can find the highest common divisor of 566, 556, 142, 120 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 566, 556, 142, 120 i.e 2.

3. How can I use the GCD of 566, 556, 142, 120Calculator?

Out the numbers 566, 556, 142, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.