GCD of 400, 914, 860, 553 Calculator

Given Input numbers are 400, 914, 860, 553

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 400, 914, 860, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 914, 860, 553 is 1.

Therefore, GCD of numbers 400, 914, 860, 553 is 1

Given Input Data is 400, 914, 860, 553

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 914 is 2 x 457

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 553 is 7 x 79

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, 914) = 182800

GCD(400, 914) = ( 400 x 914 ) / 182800

GCD(400, 914) = 365600 / 182800

GCD(400, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 860

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

LCM(2, 860) = 860

GCD(2, 860) = ( 2 x 860 ) / 860

GCD(2, 860) = 1720 / 860

GCD(2, 860) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 553

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

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

GCD(2, 553) = 1106 / 1106

GCD(2, 553) = 1

GCD of 400, 914, 860, 553 is 1

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1. What is the GCD of 400, 914, 860, 553?

GCD of 400, 914, 860, 553 is 1

2. Where do I get the detailed procedure to find GCD of 400, 914, 860, 553?

You can find a detailed procedure to find GCD of 400, 914, 860, 553 on our page.

3. How to find GCD of 400, 914, 860, 553 on a calculator?

You can find the GCD of 400, 914, 860, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.