GCD of 68, 760, 542, 503 Calculator

Given Input numbers are 68, 760, 542, 503

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Greatest Common Divisior

We found the divisors of 68, 760, 542, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 760, 542, 503 is 1.

Therefore, GCD of numbers 68, 760, 542, 503 is 1

Given Input Data is 68, 760, 542, 503

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 542 is 2 x 271

Prime Factorization of 503 is 503

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(68, 760) = 12920

GCD(68, 760) = ( 68 x 760 ) / 12920

GCD(68, 760) = 51680 / 12920

GCD(68, 760) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 542

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

LCM(4, 542) = 1084

GCD(4, 542) = ( 4 x 542 ) / 1084

GCD(4, 542) = 2168 / 1084

GCD(4, 542) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 503

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

LCM(2, 503) = 1006

GCD(2, 503) = ( 2 x 503 ) / 1006

GCD(2, 503) = 1006 / 1006

GCD(2, 503) = 1

GCD of 68, 760, 542, 503 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 866, 619, 849
• GCD of 32, 733, 980, 427
• GCD of 14, 934, 672, 160
• GCD of 84, 322, 669, 687
• GCD of 73, 629, 892, 857

1. What is the GCD of 68, 760, 542, 503?

GCD of 68, 760, 542, 503 is 1

2. Where do I get the detailed procedure to find GCD of 68, 760, 542, 503?

You can find a detailed procedure to find GCD of 68, 760, 542, 503 on our page.

3. How to find GCD of 68, 760, 542, 503 on a calculator?

You can find the GCD of 68, 760, 542, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.