GCD of 632, 200, 89, 554 Calculator

Given Input numbers are 632, 200, 89, 554

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

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 632, 200, 89, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 200, 89, 554 is 1.

Therefore, GCD of numbers 632, 200, 89, 554 is 1

Given Input Data is 632, 200, 89, 554

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

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 89 is 89

Prime Factorization of 554 is 2 x 277

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(632, 200) = 15800

GCD(632, 200) = ( 632 x 200 ) / 15800

GCD(632, 200) = 126400 / 15800

GCD(632, 200) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 89

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

LCM(8, 89) = 712

GCD(8, 89) = ( 8 x 89 ) / 712

GCD(8, 89) = 712 / 712

GCD(8, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

GCD of 632, 200, 89, 554 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 980, 48, 862
• GCD of 267, 702, 88, 942
• GCD of 500, 904, 42, 803
• GCD of 685, 818, 42, 113
• GCD of 565, 277, 63, 124

1. What is the GCD of 632, 200, 89, 554?

GCD of 632, 200, 89, 554 is 1

2. Where do I get the detailed procedure to find GCD of 632, 200, 89, 554?

You can find a detailed procedure to find GCD of 632, 200, 89, 554 on our page.

3. How to find GCD of 632, 200, 89, 554 on a calculator?

You can find the GCD of 632, 200, 89, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.