GCD of 986, 558, 272, 264 Calculator

Given Input numbers are 986, 558, 272, 264

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

Divisors of 986 :

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

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

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (986, 558, 272, 264) = 2.

Given numbers are 986, 558, 272, 264

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 986, 558, 272, 264 is 2.

Given numbers are 986, 558, 272, 264

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

Apply this formula for all numbers.

Step1:

LCM(986, 558) = 275094

GCD(986, 558) = ( 986 x 558 ) / 275094

= 986 / 558

= 986

Step2:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

Step3:

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

= 2 / 264

= 2

So, Greatest Common Divisor of 986, 558, 272, 264 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 226, 157, 786
• GCD of 446, 455, 863, 262
• GCD of 811, 333, 245, 624
• GCD of 172, 336, 552, 655
• GCD of 482, 744, 938, 645

Given numbers are 986, 558, 272, 264
The greatest common divisor of numbers 986, 558, 272, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 558, 272, 264 is 2.

1. What is the GCD of 986, 558, 272, 264?

GCD of given numbers 986, 558, 272, 264 is 2

2. How to calculate the greatest common divisor of 986, 558, 272, 264?

We can find the highest common divisor of 986, 558, 272, 264 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 986, 558, 272, 264 i.e 2.

3. How can I use the GCD of 986, 558, 272, 264Calculator?

Out the numbers 986, 558, 272, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.