GCD of 837, 108, 53, 958 Calculator

Given Input numbers are 837, 108, 53, 958

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 837, 108, 53, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 837, 108, 53, 958 is 1.

Therefore, GCD of numbers 837, 108, 53, 958 is 1

Given Input Data is 837, 108, 53, 958

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 837 is 3 x 3 x 3 x 31

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 53 is 53

Prime Factorization of 958 is 2 x 479

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(837, 108) = 3348

GCD(837, 108) = ( 837 x 108 ) / 3348

GCD(837, 108) = 90396 / 3348

GCD(837, 108) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 53

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

LCM(27, 53) = 1431

GCD(27, 53) = ( 27 x 53 ) / 1431

GCD(27, 53) = 1431 / 1431

GCD(27, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

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

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 837, 108, 53, 958 is 1

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• GCD of 449, 508, 75, 385
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1. What is the GCD of 837, 108, 53, 958?

GCD of 837, 108, 53, 958 is 1

2. Where do I get the detailed procedure to find GCD of 837, 108, 53, 958?

You can find a detailed procedure to find GCD of 837, 108, 53, 958 on our page.

3. How to find GCD of 837, 108, 53, 958 on a calculator?

You can find the GCD of 837, 108, 53, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.