GCD of 60, 762, 694, 215 Calculator

Given Input numbers are 60, 762, 694, 215

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

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 762

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

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

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 60, 762, 694, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 762, 694, 215 is 1.

Therefore, GCD of numbers 60, 762, 694, 215 is 1

Given Input Data is 60, 762, 694, 215

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

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 694 is 2 x 347

Prime Factorization of 215 is 5 x 43

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(60, 762) = 7620

GCD(60, 762) = ( 60 x 762 ) / 7620

GCD(60, 762) = 45720 / 7620

GCD(60, 762) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 694

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

LCM(6, 694) = 2082

GCD(6, 694) = ( 6 x 694 ) / 2082

GCD(6, 694) = 4164 / 2082

GCD(6, 694) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 215

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

LCM(2, 215) = 430

GCD(2, 215) = ( 2 x 215 ) / 430

GCD(2, 215) = 430 / 430

GCD(2, 215) = 1

GCD of 60, 762, 694, 215 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 821, 224, 438
• GCD of 99, 709, 145, 506
• GCD of 99, 324, 555, 736
• GCD of 76, 348, 864, 499
• GCD of 10, 646, 731, 222

1. What is the GCD of 60, 762, 694, 215?

GCD of 60, 762, 694, 215 is 1

2. Where do I get the detailed procedure to find GCD of 60, 762, 694, 215?

You can find a detailed procedure to find GCD of 60, 762, 694, 215 on our page.

3. How to find GCD of 60, 762, 694, 215 on a calculator?

You can find the GCD of 60, 762, 694, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.