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GCD of 609, 764, 464, 997 Calculator

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


Online GCD Calculator is useful to find the GCD of 609, 764, 464, 997 quickly. Get the easiest ways to solve the greatest common divisor of 609, 764, 464, 997 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 609, 764, 464, 997 with Factoring?

Given Input numbers are 609, 764, 464, 997

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 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997


GCD of numbers is the greatest common divisor

So, the GCD (609, 764, 464, 997) = 1.

Find GCD of 609, 764, 464, 997 using Prime Factorization

Given numbers are 609, 764, 464, 997

The list of prime factors of all numbers are

Prime factors of 609 are 3 x 7 x 29

Prime factors of 764 are 2 x 2 x 191

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 997 are 997

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

Steps to Calculate GCD of 609, 764, 464, 997 using LCM Formula

Given numbers are 609, 764, 464, 997

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

Apply this formula for all numbers.

Step1:

LCM(609, 764) = 465276

GCD(609, 764) = ( 609 x 764 ) / 465276

= 609 / 764

= 609


Step2:

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

= 1 / 464

= 1


Step3:

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

= 1 / 997

= 1


So, Greatest Common Divisor of 609, 764, 464, 997 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 609, 764, 464, 997

Given numbers are 609, 764, 464, 997
The greatest common divisor of numbers 609, 764, 464, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 764, 464, 997 is 1.

FAQs on GCD of 609, 764, 464, 997 Calculator

1. What is the GCD of 609, 764, 464, 997?

GCD of given numbers 609, 764, 464, 997 is 1


2. How to calculate the greatest common divisor of 609, 764, 464, 997?

We can find the highest common divisor of 609, 764, 464, 997 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, 764, 464, 997 i.e 1.


3. How can I use the GCD of 609, 764, 464, 997Calculator?

Out the numbers 609, 764, 464, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.