GCD of 959, 595, 387, 728 Calculator

Given Input numbers are 959, 595, 387, 728

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

Divisors of 959 :

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

1, 7, 137, 959

Divisors of 595 :

The positive integer divisors of 595 that completely divides 595 are.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (959, 595, 387, 728) = 1.

Given numbers are 959, 595, 387, 728

The list of prime factors of all numbers are

Prime factors of 959 are 7 x 137

Prime factors of 595 are 5 x 7 x 17

Prime factors of 387 are 3 x 3 x 43

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 959, 595, 387, 728

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

Apply this formula for all numbers.

Step1:

LCM(959, 595) = 81515

GCD(959, 595) = ( 959 x 595 ) / 81515

= 959 / 595

= 959

Step2:

LCM(7, 387) = 2709

GCD(7, 387) = ( 7 x 387 ) / 2709

= 7 / 387

= 7

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 959, 595, 387, 728 is 1

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Given numbers are 959, 595, 387, 728
The greatest common divisor of numbers 959, 595, 387, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 959, 595, 387, 728 is 1.

1. What is the GCD of 959, 595, 387, 728?

GCD of given numbers 959, 595, 387, 728 is 1

2. How to calculate the greatest common divisor of 959, 595, 387, 728?

We can find the highest common divisor of 959, 595, 387, 728 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 959, 595, 387, 728 i.e 1.

3. How can I use the GCD of 959, 595, 387, 728Calculator?

Out the numbers 959, 595, 387, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.