GCD of 60, 723, 114, 401 Calculator

Given Input numbers are 60, 723, 114, 401

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 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 60, 723, 114, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 723, 114, 401 is 1.

Therefore, GCD of numbers 60, 723, 114, 401 is 1

Given Input Data is 60, 723, 114, 401

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 723 is 3 x 241

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 401 is 401

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, 723) = 14460

GCD(60, 723) = ( 60 x 723 ) / 14460

GCD(60, 723) = 43380 / 14460

GCD(60, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 114

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

LCM(3, 114) = 114

GCD(3, 114) = ( 3 x 114 ) / 114

GCD(3, 114) = 342 / 114

GCD(3, 114) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 401

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

LCM(3, 401) = 1203

GCD(3, 401) = ( 3 x 401 ) / 1203

GCD(3, 401) = 1203 / 1203

GCD(3, 401) = 1

GCD of 60, 723, 114, 401 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 378, 311, 982
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• GCD of 32, 152, 833, 678
• GCD of 41, 659, 212, 627

1. What is the GCD of 60, 723, 114, 401?

GCD of 60, 723, 114, 401 is 1

2. Where do I get the detailed procedure to find GCD of 60, 723, 114, 401?

You can find a detailed procedure to find GCD of 60, 723, 114, 401 on our page.

3. How to find GCD of 60, 723, 114, 401 on a calculator?

You can find the GCD of 60, 723, 114, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.