GCD of 318, 837, 53, 160 Calculator

Given Input numbers are 318, 837, 53, 160

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

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 53

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

1, 53

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 318, 837, 53, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 837, 53, 160 is 1.

Therefore, GCD of numbers 318, 837, 53, 160 is 1

Given Input Data is 318, 837, 53, 160

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

Prime Factorization of 318 is 2 x 3 x 53

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

Prime Factorization of 53 is 53

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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(318, 837) = 88722

GCD(318, 837) = ( 318 x 837 ) / 88722

GCD(318, 837) = 266166 / 88722

GCD(318, 837) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 53

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

LCM(3, 53) = 159

GCD(3, 53) = ( 3 x 53 ) / 159

GCD(3, 53) = 159 / 159

GCD(3, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 318, 837, 53, 160 is 1

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• GCD of 843, 931, 25, 684
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1. What is the GCD of 318, 837, 53, 160?

GCD of 318, 837, 53, 160 is 1

2. Where do I get the detailed procedure to find GCD of 318, 837, 53, 160?

You can find a detailed procedure to find GCD of 318, 837, 53, 160 on our page.

3. How to find GCD of 318, 837, 53, 160 on a calculator?

You can find the GCD of 318, 837, 53, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.