GCD of 742, 651, 52, 499 Calculator

Given Input numbers are 742, 651, 52, 499

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 742, 651, 52, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 651, 52, 499 is 1.

Therefore, GCD of numbers 742, 651, 52, 499 is 1

Given Input Data is 742, 651, 52, 499

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 499 is 499

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(742, 651) = 69006

GCD(742, 651) = ( 742 x 651 ) / 69006

GCD(742, 651) = 483042 / 69006

GCD(742, 651) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 52

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

LCM(7, 52) = 364

GCD(7, 52) = ( 7 x 52 ) / 364

GCD(7, 52) = 364 / 364

GCD(7, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 499

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

LCM(1, 499) = 499

GCD(1, 499) = ( 1 x 499 ) / 499

GCD(1, 499) = 499 / 499

GCD(1, 499) = 1

GCD of 742, 651, 52, 499 is 1

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1. What is the GCD of 742, 651, 52, 499?

GCD of 742, 651, 52, 499 is 1

2. Where do I get the detailed procedure to find GCD of 742, 651, 52, 499?

You can find a detailed procedure to find GCD of 742, 651, 52, 499 on our page.

3. How to find GCD of 742, 651, 52, 499 on a calculator?

You can find the GCD of 742, 651, 52, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.