GCD of 218, 390, 142, 986 Calculator

Given Input numbers are 218, 390, 142, 986

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

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 142 :

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

1, 2, 71, 142

Divisors of 986 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (218, 390, 142, 986) = 2.

Given numbers are 218, 390, 142, 986

The list of prime factors of all numbers are

Prime factors of 218 are 2 x 109

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 142 are 2 x 71

Prime factors of 986 are 2 x 17 x 29

The highest common occurrence is 2¹

Therefore, GCD of 218, 390, 142, 986 is 2.

Given numbers are 218, 390, 142, 986

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

Apply this formula for all numbers.

Step1:

LCM(218, 390) = 42510

GCD(218, 390) = ( 218 x 390 ) / 42510

= 218 / 390

= 218

Step2:

LCM(2, 142) = 142

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

= 2 / 142

= 2

Step3:

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

= 2 / 986

= 2

So, Greatest Common Divisor of 218, 390, 142, 986 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 263, 666, 164
• GCD of 485, 499, 627, 773
• GCD of 159, 354, 385, 961
• GCD of 681, 629, 945, 300
• GCD of 841, 317, 691, 408

Given numbers are 218, 390, 142, 986
The greatest common divisor of numbers 218, 390, 142, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 390, 142, 986 is 2.

1. What is the GCD of 218, 390, 142, 986?

GCD of given numbers 218, 390, 142, 986 is 2

2. How to calculate the greatest common divisor of 218, 390, 142, 986?

We can find the highest common divisor of 218, 390, 142, 986 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 218, 390, 142, 986 i.e 2.

3. How can I use the GCD of 218, 390, 142, 986Calculator?

Out the numbers 218, 390, 142, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.