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GCD of 597, 738, 989, 355 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 597, 738, 989, 355 quickly. Get the easiest ways to solve the greatest common divisor of 597, 738, 989, 355 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 597, 738, 989, 355 with Factoring?

Given Input numbers are 597, 738, 989, 355

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

Divisors of 597 :

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

1, 3, 199, 597

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 355 :

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

1, 5, 71, 355


GCD of numbers is the greatest common divisor

So, the GCD (597, 738, 989, 355) = 1.

Find GCD of 597, 738, 989, 355 using Prime Factorization

Given numbers are 597, 738, 989, 355

The list of prime factors of all numbers are

Prime factors of 597 are 3 x 199

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 989 are 23 x 43

Prime factors of 355 are 5 x 71

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

Steps to Calculate GCD of 597, 738, 989, 355 using LCM Formula

Given numbers are 597, 738, 989, 355

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

Apply this formula for all numbers.

Step1:

LCM(597, 738) = 146862

GCD(597, 738) = ( 597 x 738 ) / 146862

= 597 / 738

= 597


Step2:

LCM(3, 989) = 2967

GCD(3, 989) = ( 3 x 989 ) / 2967

= 3 / 989

= 3


Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1


So, Greatest Common Divisor of 597, 738, 989, 355 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 597, 738, 989, 355

Given numbers are 597, 738, 989, 355
The greatest common divisor of numbers 597, 738, 989, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 597, 738, 989, 355 is 1.

FAQs on GCD of 597, 738, 989, 355 Calculator

1. What is the GCD of 597, 738, 989, 355?

GCD of given numbers 597, 738, 989, 355 is 1


2. How to calculate the greatest common divisor of 597, 738, 989, 355?

We can find the highest common divisor of 597, 738, 989, 355 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 597, 738, 989, 355 i.e 1.


3. How can I use the GCD of 597, 738, 989, 355Calculator?

Out the numbers 597, 738, 989, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.