GCD of 400, 742, 55, 667 Calculator

Given Input numbers are 400, 742, 55, 667

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 400, 742, 55, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 742, 55, 667 is 1.

Therefore, GCD of numbers 400, 742, 55, 667 is 1

Given Input Data is 400, 742, 55, 667

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 55 is 5 x 11

Prime Factorization of 667 is 23 x 29

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(400, 742) = 148400

GCD(400, 742) = ( 400 x 742 ) / 148400

GCD(400, 742) = 296800 / 148400

GCD(400, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 55

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

LCM(2, 55) = 110

GCD(2, 55) = ( 2 x 55 ) / 110

GCD(2, 55) = 110 / 110

GCD(2, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 667

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

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

GCD(1, 667) = 667 / 667

GCD(1, 667) = 1

GCD of 400, 742, 55, 667 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 133, 11, 606
• GCD of 234, 224, 73, 856
• GCD of 551, 658, 78, 944
• GCD of 724, 322, 25, 502
• GCD of 306, 746, 55, 678

1. What is the GCD of 400, 742, 55, 667?

GCD of 400, 742, 55, 667 is 1

2. Where do I get the detailed procedure to find GCD of 400, 742, 55, 667?

You can find a detailed procedure to find GCD of 400, 742, 55, 667 on our page.

3. How to find GCD of 400, 742, 55, 667 on a calculator?

You can find the GCD of 400, 742, 55, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.