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GCD of 217, 838, 585, 136 Calculator

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


Online GCD Calculator is useful to find the GCD of 217, 838, 585, 136 quickly. Get the easiest ways to solve the greatest common divisor of 217, 838, 585, 136 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 217, 838, 585, 136 with Factoring?

Given Input numbers are 217, 838, 585, 136

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136


GCD of numbers is the greatest common divisor

So, the GCD (217, 838, 585, 136) = 1.

Find GCD of 217, 838, 585, 136 using Prime Factorization

Given numbers are 217, 838, 585, 136

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

Prime factors of 838 are 2 x 419

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 136 are 2 x 2 x 2 x 17

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

Steps to Calculate GCD of 217, 838, 585, 136 using LCM Formula

Given numbers are 217, 838, 585, 136

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

Apply this formula for all numbers.

Step1:

LCM(217, 838) = 181846

GCD(217, 838) = ( 217 x 838 ) / 181846

= 217 / 838

= 217


Step2:

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

= 1 / 585

= 1


Step3:

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

= 1 / 136

= 1


So, Greatest Common Divisor of 217, 838, 585, 136 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 217, 838, 585, 136

Given numbers are 217, 838, 585, 136
The greatest common divisor of numbers 217, 838, 585, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 838, 585, 136 is 1.

FAQs on GCD of 217, 838, 585, 136 Calculator

1. What is the GCD of 217, 838, 585, 136?

GCD of given numbers 217, 838, 585, 136 is 1


2. How to calculate the greatest common divisor of 217, 838, 585, 136?

We can find the highest common divisor of 217, 838, 585, 136 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 217, 838, 585, 136 i.e 1.


3. How can I use the GCD of 217, 838, 585, 136Calculator?

Out the numbers 217, 838, 585, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.