GCD of 524, 954, 687, 764 Calculator

Given Input numbers are 524, 954, 687, 764

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 524, 954, 687, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 954, 687, 764 is 1.

Therefore, GCD of numbers 524, 954, 687, 764 is 1

Given Input Data is 524, 954, 687, 764

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 954 is 2 x 3 x 3 x 53

Prime Factorization of 687 is 3 x 229

Prime Factorization of 764 is 2 x 2 x 191

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, 954) = 249948

GCD(524, 954) = ( 524 x 954 ) / 249948

GCD(524, 954) = 499896 / 249948

GCD(524, 954) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 687

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

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

GCD(2, 687) = 1374 / 1374

GCD(2, 687) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

GCD of 524, 954, 687, 764 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 122, 522, 371
• GCD of 213, 543, 809, 991
• GCD of 392, 285, 598, 780
• GCD of 382, 182, 271, 733
• GCD of 863, 968, 819, 220

1. What is the GCD of 524, 954, 687, 764?

GCD of 524, 954, 687, 764 is 1

2. Where do I get the detailed procedure to find GCD of 524, 954, 687, 764?

You can find a detailed procedure to find GCD of 524, 954, 687, 764 on our page.

3. How to find GCD of 524, 954, 687, 764 on a calculator?

You can find the GCD of 524, 954, 687, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.