GCD of 53, 972, 868, 513 Calculator

Given Input numbers are 53, 972, 868, 513

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 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 53, 972, 868, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 972, 868, 513 is 1.

Therefore, GCD of numbers 53, 972, 868, 513 is 1

Given Input Data is 53, 972, 868, 513

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

Prime Factorization of 53 is 53

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 513 is 3 x 3 x 3 x 19

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, 972) = 51516

GCD(53, 972) = ( 53 x 972 ) / 51516

GCD(53, 972) = 51516 / 51516

GCD(53, 972) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 53, 972, 868, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 496, 261, 248
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• GCD of 31, 693, 449, 388
• GCD of 46, 962, 547, 710
• GCD of 41, 488, 458, 398

1. What is the GCD of 53, 972, 868, 513?

GCD of 53, 972, 868, 513 is 1

2. Where do I get the detailed procedure to find GCD of 53, 972, 868, 513?

You can find a detailed procedure to find GCD of 53, 972, 868, 513 on our page.

3. How to find GCD of 53, 972, 868, 513 on a calculator?

You can find the GCD of 53, 972, 868, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.