GCD of 120, 208, 986, 568 Calculator

Given Input numbers are 120, 208, 986, 568

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

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 568 :

The positive integer divisors of 568 that completely divides 568 are.

1, 2, 4, 8, 71, 142, 284, 568

GCD of numbers is the greatest common divisor

So, the GCD (120, 208, 986, 568) = 2.

Given numbers are 120, 208, 986, 568

The list of prime factors of all numbers are

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

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 986 are 2 x 17 x 29

Prime factors of 568 are 2 x 2 x 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 120, 208, 986, 568 is 2.

Given numbers are 120, 208, 986, 568

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

Apply this formula for all numbers.

Step1:

LCM(120, 208) = 3120

GCD(120, 208) = ( 120 x 208 ) / 3120

= 120 / 208

= 120

Step2:

LCM(8, 986) = 3944

GCD(8, 986) = ( 8 x 986 ) / 3944

= 8 / 986

= 8

Step3:

LCM(2, 568) = 568

GCD(2, 568) = ( 2 x 568 ) / 568

= 2 / 568

= 2

So, Greatest Common Divisor of 120, 208, 986, 568 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 234, 826, 282
• GCD of 551, 840, 357, 417
• GCD of 271, 892, 402, 452
• GCD of 241, 389, 625, 584
• GCD of 731, 184, 135, 195

Given numbers are 120, 208, 986, 568
The greatest common divisor of numbers 120, 208, 986, 568 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 208, 986, 568 is 2.

1. What is the GCD of 120, 208, 986, 568?

GCD of given numbers 120, 208, 986, 568 is 2

2. How to calculate the greatest common divisor of 120, 208, 986, 568?

We can find the highest common divisor of 120, 208, 986, 568 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 120, 208, 986, 568 i.e 2.

3. How can I use the GCD of 120, 208, 986, 568Calculator?

Out the numbers 120, 208, 986, 568 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.