GCD of 524, 717, 16, 977 Calculator

Given Input numbers are 524, 717, 16, 977

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 524, 717, 16, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 717, 16, 977 is 1.

Therefore, GCD of numbers 524, 717, 16, 977 is 1

Given Input Data is 524, 717, 16, 977

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 717 is 3 x 239

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 977 is 977

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(524, 717) = 375708

GCD(524, 717) = ( 524 x 717 ) / 375708

GCD(524, 717) = 375708 / 375708

GCD(524, 717) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 524, 717, 16, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 489, 30, 346
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• GCD of 836, 289, 62, 534
• GCD of 382, 486, 97, 972
• GCD of 399, 840, 24, 650

1. What is the GCD of 524, 717, 16, 977?

GCD of 524, 717, 16, 977 is 1

2. Where do I get the detailed procedure to find GCD of 524, 717, 16, 977?

You can find a detailed procedure to find GCD of 524, 717, 16, 977 on our page.

3. How to find GCD of 524, 717, 16, 977 on a calculator?

You can find the GCD of 524, 717, 16, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.