GCD of 584, 143, 545, 200 Calculator

Given Input numbers are 584, 143, 545, 200

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

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

Greatest Common Divisior

We found the divisors of 584, 143, 545, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 143, 545, 200 is 1.

Therefore, GCD of numbers 584, 143, 545, 200 is 1

Given Input Data is 584, 143, 545, 200

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 143 is 11 x 13

Prime Factorization of 545 is 5 x 109

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

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(584, 143) = 83512

GCD(584, 143) = ( 584 x 143 ) / 83512

GCD(584, 143) = 83512 / 83512

GCD(584, 143) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 545

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

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

GCD(1, 545) = 545 / 545

GCD(1, 545) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 584, 143, 545, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 975, 573, 341
• GCD of 963, 223, 447, 215
• GCD of 469, 155, 371, 758
• GCD of 474, 371, 814, 485
• GCD of 606, 993, 743, 964

1. What is the GCD of 584, 143, 545, 200?

GCD of 584, 143, 545, 200 is 1

2. Where do I get the detailed procedure to find GCD of 584, 143, 545, 200?

You can find a detailed procedure to find GCD of 584, 143, 545, 200 on our page.

3. How to find GCD of 584, 143, 545, 200 on a calculator?

You can find the GCD of 584, 143, 545, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.