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GCD of 397, 509, 264, 986 Calculator

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


Online GCD Calculator is useful to find the GCD of 397, 509, 264, 986 quickly. Get the easiest ways to solve the greatest common divisor of 397, 509, 264, 986 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 397, 509, 264, 986 with Factoring?

Given Input numbers are 397, 509, 264, 986

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

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986


GCD of numbers is the greatest common divisor

So, the GCD (397, 509, 264, 986) = 1.

Find GCD of 397, 509, 264, 986 using Prime Factorization

Given numbers are 397, 509, 264, 986

The list of prime factors of all numbers are

Prime factors of 397 are 397

Prime factors of 509 are 509

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 986 are 2 x 17 x 29

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

Steps to Calculate GCD of 397, 509, 264, 986 using LCM Formula

Given numbers are 397, 509, 264, 986

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

Apply this formula for all numbers.

Step1:

LCM(397, 509) = 202073

GCD(397, 509) = ( 397 x 509 ) / 202073

= 397 / 509

= 397


Step2:

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

= 1 / 264

= 1


Step3:

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

= 1 / 986

= 1


So, Greatest Common Divisor of 397, 509, 264, 986 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 397, 509, 264, 986

Given numbers are 397, 509, 264, 986
The greatest common divisor of numbers 397, 509, 264, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 397, 509, 264, 986 is 1.

FAQs on GCD of 397, 509, 264, 986 Calculator

1. What is the GCD of 397, 509, 264, 986?

GCD of given numbers 397, 509, 264, 986 is 1


2. How to calculate the greatest common divisor of 397, 509, 264, 986?

We can find the highest common divisor of 397, 509, 264, 986 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 397, 509, 264, 986 i.e 1.


3. How can I use the GCD of 397, 509, 264, 986Calculator?

Out the numbers 397, 509, 264, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.