GCD of 742, 734, 60, 585 Calculator

Given Input numbers are 742, 734, 60, 585

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 742, 734, 60, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 734, 60, 585 is 1.

Therefore, GCD of numbers 742, 734, 60, 585 is 1

Given Input Data is 742, 734, 60, 585

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 734 is 2 x 367

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 585 is 3 x 3 x 5 x 13

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, 734) = 272314

GCD(742, 734) = ( 742 x 734 ) / 272314

GCD(742, 734) = 544628 / 272314

GCD(742, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 585

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

LCM(2, 585) = 1170

GCD(2, 585) = ( 2 x 585 ) / 1170

GCD(2, 585) = 1170 / 1170

GCD(2, 585) = 1

GCD of 742, 734, 60, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 100, 11, 212
• GCD of 138, 208, 71, 714
• GCD of 532, 202, 59, 581
• GCD of 207, 604, 38, 699
• GCD of 941, 614, 42, 965

1. What is the GCD of 742, 734, 60, 585?

GCD of 742, 734, 60, 585 is 1

2. Where do I get the detailed procedure to find GCD of 742, 734, 60, 585?

You can find a detailed procedure to find GCD of 742, 734, 60, 585 on our page.

3. How to find GCD of 742, 734, 60, 585 on a calculator?

You can find the GCD of 742, 734, 60, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.