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GCD of 838, 156, 585, 958 Calculator

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


Online GCD Calculator is useful to find the GCD of 838, 156, 585, 958 quickly. Get the easiest ways to solve the greatest common divisor of 838, 156, 585, 958 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 838, 156, 585, 958 with Factoring?

Given Input numbers are 838, 156, 585, 958

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

Divisors of 838 :

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

1, 2, 419, 838

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958


GCD of numbers is the greatest common divisor

So, the GCD (838, 156, 585, 958) = 1.

Find GCD of 838, 156, 585, 958 using Prime Factorization

Given numbers are 838, 156, 585, 958

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 156 are 2 x 2 x 3 x 13

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

Prime factors of 958 are 2 x 479

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

Steps to Calculate GCD of 838, 156, 585, 958 using LCM Formula

Given numbers are 838, 156, 585, 958

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

Apply this formula for all numbers.

Step1:

LCM(838, 156) = 65364

GCD(838, 156) = ( 838 x 156 ) / 65364

= 838 / 156

= 838


Step2:

LCM(2, 585) = 1170

GCD(2, 585) = ( 2 x 585 ) / 1170

= 2 / 585

= 2


Step3:

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

= 1 / 958

= 1


So, Greatest Common Divisor of 838, 156, 585, 958 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 838, 156, 585, 958

Given numbers are 838, 156, 585, 958
The greatest common divisor of numbers 838, 156, 585, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 156, 585, 958 is 1.

FAQs on GCD of 838, 156, 585, 958 Calculator

1. What is the GCD of 838, 156, 585, 958?

GCD of given numbers 838, 156, 585, 958 is 1


2. How to calculate the greatest common divisor of 838, 156, 585, 958?

We can find the highest common divisor of 838, 156, 585, 958 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 838, 156, 585, 958 i.e 1.


3. How can I use the GCD of 838, 156, 585, 958Calculator?

Out the numbers 838, 156, 585, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.