GCD of 600, 994, 94, 553 Calculator

Given Input numbers are 600, 994, 94, 553

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

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 600, 994, 94, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 994, 94, 553 is 1.

Therefore, GCD of numbers 600, 994, 94, 553 is 1

Given Input Data is 600, 994, 94, 553

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 94 is 2 x 47

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(600, 994) = 298200

GCD(600, 994) = ( 600 x 994 ) / 298200

GCD(600, 994) = 596400 / 298200

GCD(600, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 94

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

LCM(2, 94) = 94

GCD(2, 94) = ( 2 x 94 ) / 94

GCD(2, 94) = 188 / 94

GCD(2, 94) = 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 600, 994, 94, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 770, 57, 564
• GCD of 453, 469, 44, 209
• GCD of 271, 896, 17, 218
• GCD of 304, 857, 54, 606
• GCD of 691, 136, 50, 555

1. What is the GCD of 600, 994, 94, 553?

GCD of 600, 994, 94, 553 is 1

2. Where do I get the detailed procedure to find GCD of 600, 994, 94, 553?

You can find a detailed procedure to find GCD of 600, 994, 94, 553 on our page.

3. How to find GCD of 600, 994, 94, 553 on a calculator?

You can find the GCD of 600, 994, 94, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.