GCD of 513, 972, 772, 942 Calculator

Given Input numbers are 513, 972, 772, 942

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

Divisors of 513

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

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

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 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 513, 972, 772, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 972, 772, 942 is 1.

Therefore, GCD of numbers 513, 972, 772, 942 is 1

Given Input Data is 513, 972, 772, 942

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

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

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 942 is 2 x 3 x 157

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(513, 972) = 18468

GCD(513, 972) = ( 513 x 972 ) / 18468

GCD(513, 972) = 498636 / 18468

GCD(513, 972) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 772

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

LCM(27, 772) = 20844

GCD(27, 772) = ( 27 x 772 ) / 20844

GCD(27, 772) = 20844 / 20844

GCD(27, 772) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 513, 972, 772, 942 is 1

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1. What is the GCD of 513, 972, 772, 942?

GCD of 513, 972, 772, 942 is 1

2. Where do I get the detailed procedure to find GCD of 513, 972, 772, 942?

You can find a detailed procedure to find GCD of 513, 972, 772, 942 on our page.

3. How to find GCD of 513, 972, 772, 942 on a calculator?

You can find the GCD of 513, 972, 772, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.