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GCD of 364, 209, 962, 508 Calculator

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


Online GCD Calculator is useful to find the GCD of 364, 209, 962, 508 quickly. Get the easiest ways to solve the greatest common divisor of 364, 209, 962, 508 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 364, 209, 962, 508 with Factoring?

Given Input numbers are 364, 209, 962, 508

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508


GCD of numbers is the greatest common divisor

So, the GCD (364, 209, 962, 508) = 1.

Find GCD of 364, 209, 962, 508 using Prime Factorization

Given numbers are 364, 209, 962, 508

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 209 are 11 x 19

Prime factors of 962 are 2 x 13 x 37

Prime factors of 508 are 2 x 2 x 127

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

Steps to Calculate GCD of 364, 209, 962, 508 using LCM Formula

Given numbers are 364, 209, 962, 508

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

Apply this formula for all numbers.

Step1:

LCM(364, 209) = 76076

GCD(364, 209) = ( 364 x 209 ) / 76076

= 364 / 209

= 364


Step2:

LCM(1, 962) = 962

GCD(1, 962) = ( 1 x 962 ) / 962

= 1 / 962

= 1


Step3:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1


So, Greatest Common Divisor of 364, 209, 962, 508 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 364, 209, 962, 508

Given numbers are 364, 209, 962, 508
The greatest common divisor of numbers 364, 209, 962, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 209, 962, 508 is 1.

FAQs on GCD of 364, 209, 962, 508 Calculator

1. What is the GCD of 364, 209, 962, 508?

GCD of given numbers 364, 209, 962, 508 is 1


2. How to calculate the greatest common divisor of 364, 209, 962, 508?

We can find the highest common divisor of 364, 209, 962, 508 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 364, 209, 962, 508 i.e 1.


3. How can I use the GCD of 364, 209, 962, 508Calculator?

Out the numbers 364, 209, 962, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.