GCD of 61, 721, 915, 542 Calculator

Given Input numbers are 61, 721, 915, 542

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 542

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

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 61, 721, 915, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 721, 915, 542 is 1.

Therefore, GCD of numbers 61, 721, 915, 542 is 1

Given Input Data is 61, 721, 915, 542

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

Prime Factorization of 61 is 61

Prime Factorization of 721 is 7 x 103

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 542 is 2 x 271

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(61, 721) = 43981

GCD(61, 721) = ( 61 x 721 ) / 43981

GCD(61, 721) = 43981 / 43981

GCD(61, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 61, 721, 915, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 921, 129, 562
• GCD of 98, 702, 855, 958
• GCD of 31, 693, 567, 548
• GCD of 65, 727, 672, 996
• GCD of 54, 852, 119, 204

1. What is the GCD of 61, 721, 915, 542?

GCD of 61, 721, 915, 542 is 1

2. Where do I get the detailed procedure to find GCD of 61, 721, 915, 542?

You can find a detailed procedure to find GCD of 61, 721, 915, 542 on our page.

3. How to find GCD of 61, 721, 915, 542 on a calculator?

You can find the GCD of 61, 721, 915, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.