GCD of 728, 978, 355, 597 Calculator

Given Input numbers are 728, 978, 355, 597

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

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

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

GCD of numbers is the greatest common divisor

So, the GCD (728, 978, 355, 597) = 1.

Given numbers are 728, 978, 355, 597

The list of prime factors of all numbers are

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

Prime factors of 978 are 2 x 3 x 163

Prime factors of 355 are 5 x 71

Prime factors of 597 are 3 x 199

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

Given numbers are 728, 978, 355, 597

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

Apply this formula for all numbers.

Step1:

LCM(728, 978) = 355992

GCD(728, 978) = ( 728 x 978 ) / 355992

= 728 / 978

= 728

Step2:

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

= 2 / 355

= 2

Step3:

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

= 1 / 597

= 1

So, Greatest Common Divisor of 728, 978, 355, 597 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 240, 568, 375
• GCD of 373, 555, 878, 689
• GCD of 688, 515, 376, 104
• GCD of 553, 110, 905, 335
• GCD of 550, 628, 878, 396

Given numbers are 728, 978, 355, 597
The greatest common divisor of numbers 728, 978, 355, 597 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 978, 355, 597 is 1.

1. What is the GCD of 728, 978, 355, 597?

GCD of given numbers 728, 978, 355, 597 is 1

2. How to calculate the greatest common divisor of 728, 978, 355, 597?

We can find the highest common divisor of 728, 978, 355, 597 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 728, 978, 355, 597 i.e 1.

3. How can I use the GCD of 728, 978, 355, 597Calculator?

Out the numbers 728, 978, 355, 597 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.