GCD of 279, 164, 972, 590 Calculator

Given Input numbers are 279, 164, 972, 590

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

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

GCD of numbers is the greatest common divisor

So, the GCD (279, 164, 972, 590) = 1.

Given numbers are 279, 164, 972, 590

The list of prime factors of all numbers are

Prime factors of 279 are 3 x 3 x 31

Prime factors of 164 are 2 x 2 x 41

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 590 are 2 x 5 x 59

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

Given numbers are 279, 164, 972, 590

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

Apply this formula for all numbers.

Step1:

LCM(279, 164) = 45756

GCD(279, 164) = ( 279 x 164 ) / 45756

= 279 / 164

= 279

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

= 1 / 590

= 1

So, Greatest Common Divisor of 279, 164, 972, 590 is 1

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Given numbers are 279, 164, 972, 590
The greatest common divisor of numbers 279, 164, 972, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 164, 972, 590 is 1.

1. What is the GCD of 279, 164, 972, 590?

GCD of given numbers 279, 164, 972, 590 is 1

2. How to calculate the greatest common divisor of 279, 164, 972, 590?

We can find the highest common divisor of 279, 164, 972, 590 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 279, 164, 972, 590 i.e 1.

3. How can I use the GCD of 279, 164, 972, 590Calculator?

Out the numbers 279, 164, 972, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.