GCD of 400, 550, 57, 846 Calculator

Given Input numbers are 400, 550, 57, 846

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 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 400, 550, 57, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 550, 57, 846 is 1.

Therefore, GCD of numbers 400, 550, 57, 846 is 1

Given Input Data is 400, 550, 57, 846

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 550 is 2 x 5 x 5 x 11

Prime Factorization of 57 is 3 x 19

Prime Factorization of 846 is 2 x 3 x 3 x 47

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, 550) = 4400

GCD(400, 550) = ( 400 x 550 ) / 4400

GCD(400, 550) = 220000 / 4400

GCD(400, 550) = 50

Step2:

Here we consider the GCD from the above i.e. 50 as first number and the next as 57

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

LCM(50, 57) = 2850

GCD(50, 57) = ( 50 x 57 ) / 2850

GCD(50, 57) = 2850 / 2850

GCD(50, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 846

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

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

GCD(1, 846) = 846 / 846

GCD(1, 846) = 1

GCD of 400, 550, 57, 846 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 183, 63, 541
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• GCD of 207, 786, 39, 888
• GCD of 122, 522, 44, 877
• GCD of 873, 758, 64, 280

1. What is the GCD of 400, 550, 57, 846?

GCD of 400, 550, 57, 846 is 1

2. Where do I get the detailed procedure to find GCD of 400, 550, 57, 846?

You can find a detailed procedure to find GCD of 400, 550, 57, 846 on our page.

3. How to find GCD of 400, 550, 57, 846 on a calculator?

You can find the GCD of 400, 550, 57, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.