GCD of 400, 415, 571, 757 Calculator

Given Input numbers are 400, 415, 571, 757

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 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 400, 415, 571, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 415, 571, 757 is 1.

Therefore, GCD of numbers 400, 415, 571, 757 is 1

Given Input Data is 400, 415, 571, 757

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 415 is 5 x 83

Prime Factorization of 571 is 571

Prime Factorization of 757 is 757

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, 415) = 33200

GCD(400, 415) = ( 400 x 415 ) / 33200

GCD(400, 415) = 166000 / 33200

GCD(400, 415) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 571

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

LCM(5, 571) = 2855

GCD(5, 571) = ( 5 x 571 ) / 2855

GCD(5, 571) = 2855 / 2855

GCD(5, 571) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

GCD of 400, 415, 571, 757 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 369, 624, 299, 560
• GCD of 535, 657, 741, 239
• GCD of 489, 159, 860, 892
• GCD of 971, 945, 854, 995
• GCD of 248, 679, 224, 858

1. What is the GCD of 400, 415, 571, 757?

GCD of 400, 415, 571, 757 is 1

2. Where do I get the detailed procedure to find GCD of 400, 415, 571, 757?

You can find a detailed procedure to find GCD of 400, 415, 571, 757 on our page.

3. How to find GCD of 400, 415, 571, 757 on a calculator?

You can find the GCD of 400, 415, 571, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.