GCD of 53, 364, 867, 498 Calculator

Given Input numbers are 53, 364, 867, 498

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

Divisors of 53

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

1, 53

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 53, 364, 867, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 364, 867, 498 is 1.

Therefore, GCD of numbers 53, 364, 867, 498 is 1

Given Input Data is 53, 364, 867, 498

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

Prime Factorization of 53 is 53

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 498 is 2 x 3 x 83

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(53, 364) = 19292

GCD(53, 364) = ( 53 x 364 ) / 19292

GCD(53, 364) = 19292 / 19292

GCD(53, 364) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 53, 364, 867, 498 is 1

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• GCD of 69, 765, 615, 787
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1. What is the GCD of 53, 364, 867, 498?

GCD of 53, 364, 867, 498 is 1

2. Where do I get the detailed procedure to find GCD of 53, 364, 867, 498?

You can find a detailed procedure to find GCD of 53, 364, 867, 498 on our page.

3. How to find GCD of 53, 364, 867, 498 on a calculator?

You can find the GCD of 53, 364, 867, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.