GCD of 762, 524, 81, 642 Calculator

Given Input numbers are 762, 524, 81, 642

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 524

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

1, 2, 4, 131, 262, 524

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 762, 524, 81, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 524, 81, 642 is 1.

Therefore, GCD of numbers 762, 524, 81, 642 is 1

Given Input Data is 762, 524, 81, 642

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 642 is 2 x 3 x 107

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(762, 524) = 199644

GCD(762, 524) = ( 762 x 524 ) / 199644

GCD(762, 524) = 399288 / 199644

GCD(762, 524) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 762, 524, 81, 642 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 512, 28, 841
• GCD of 912, 480, 34, 419
• GCD of 394, 469, 71, 990
• GCD of 225, 830, 56, 503
• GCD of 667, 726, 56, 479

1. What is the GCD of 762, 524, 81, 642?

GCD of 762, 524, 81, 642 is 1

2. Where do I get the detailed procedure to find GCD of 762, 524, 81, 642?

You can find a detailed procedure to find GCD of 762, 524, 81, 642 on our page.

3. How to find GCD of 762, 524, 81, 642 on a calculator?

You can find the GCD of 762, 524, 81, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.