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GCD of 963, 908, 509, 338 Calculator

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


Online GCD Calculator is useful to find the GCD of 963, 908, 509, 338 quickly. Get the easiest ways to solve the greatest common divisor of 963, 908, 509, 338 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 963, 908, 509, 338 with Factoring?

Given Input numbers are 963, 908, 509, 338

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

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 509 :

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

1, 509

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338


GCD of numbers is the greatest common divisor

So, the GCD (963, 908, 509, 338) = 1.

Find GCD of 963, 908, 509, 338 using Prime Factorization

Given numbers are 963, 908, 509, 338

The list of prime factors of all numbers are

Prime factors of 963 are 3 x 3 x 107

Prime factors of 908 are 2 x 2 x 227

Prime factors of 509 are 509

Prime factors of 338 are 2 x 13 x 13

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

Steps to Calculate GCD of 963, 908, 509, 338 using LCM Formula

Given numbers are 963, 908, 509, 338

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

Apply this formula for all numbers.

Step1:

LCM(963, 908) = 874404

GCD(963, 908) = ( 963 x 908 ) / 874404

= 963 / 908

= 963


Step2:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1


Step3:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1


So, Greatest Common Divisor of 963, 908, 509, 338 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 963, 908, 509, 338

Given numbers are 963, 908, 509, 338
The greatest common divisor of numbers 963, 908, 509, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 963, 908, 509, 338 is 1.

FAQs on GCD of 963, 908, 509, 338 Calculator

1. What is the GCD of 963, 908, 509, 338?

GCD of given numbers 963, 908, 509, 338 is 1


2. How to calculate the greatest common divisor of 963, 908, 509, 338?

We can find the highest common divisor of 963, 908, 509, 338 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 963, 908, 509, 338 i.e 1.


3. How can I use the GCD of 963, 908, 509, 338Calculator?

Out the numbers 963, 908, 509, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.