GCD of 214, 959, 558, 264 Calculator

Given Input numbers are 214, 959, 558, 264

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

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 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 (214, 959, 558, 264) = 1.

Given numbers are 214, 959, 558, 264

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 959 are 7 x 137

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

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 214, 959, 558, 264

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

Apply this formula for all numbers.

Step1:

LCM(214, 959) = 205226

GCD(214, 959) = ( 214 x 959 ) / 205226

= 214 / 959

= 214

Step2:

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

= 1 / 558

= 1

Step3:

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

= 1 / 264

= 1

So, Greatest Common Divisor of 214, 959, 558, 264 is 1

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Given numbers are 214, 959, 558, 264
The greatest common divisor of numbers 214, 959, 558, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 959, 558, 264 is 1.

1. What is the GCD of 214, 959, 558, 264?

GCD of given numbers 214, 959, 558, 264 is 1

2. How to calculate the greatest common divisor of 214, 959, 558, 264?

We can find the highest common divisor of 214, 959, 558, 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 214, 959, 558, 264 i.e 1.

3. How can I use the GCD of 214, 959, 558, 264Calculator?

Out the numbers 214, 959, 558, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.