GCD of 609, 971, 214, 164 Calculator

Given Input numbers are 609, 971, 214, 164

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

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (609, 971, 214, 164) = 1.

Given numbers are 609, 971, 214, 164

The list of prime factors of all numbers are

Prime factors of 609 are 3 x 7 x 29

Prime factors of 971 are 971

Prime factors of 214 are 2 x 107

Prime factors of 164 are 2 x 2 x 41

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

Given numbers are 609, 971, 214, 164

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

Apply this formula for all numbers.

Step1:

LCM(609, 971) = 591339

GCD(609, 971) = ( 609 x 971 ) / 591339

= 609 / 971

= 609

Step2:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

Step3:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1

So, Greatest Common Divisor of 609, 971, 214, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 641, 567, 228
• GCD of 219, 726, 912, 838
• GCD of 379, 395, 846, 779
• GCD of 274, 607, 228, 356
• GCD of 344, 224, 362, 157

Given numbers are 609, 971, 214, 164
The greatest common divisor of numbers 609, 971, 214, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 971, 214, 164 is 1.

1. What is the GCD of 609, 971, 214, 164?

GCD of given numbers 609, 971, 214, 164 is 1

2. How to calculate the greatest common divisor of 609, 971, 214, 164?

We can find the highest common divisor of 609, 971, 214, 164 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 609, 971, 214, 164 i.e 1.

3. How can I use the GCD of 609, 971, 214, 164Calculator?

Out the numbers 609, 971, 214, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.