GCD of 554, 371, 45, 644 Calculator

Given Input numbers are 554, 371, 45, 644

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

Divisors of 554

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

1, 2, 277, 554

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 554, 371, 45, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 371, 45, 644 is 1.

Therefore, GCD of numbers 554, 371, 45, 644 is 1

Given Input Data is 554, 371, 45, 644

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 371 is 7 x 53

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 644 is 2 x 2 x 7 x 23

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(554, 371) = 205534

GCD(554, 371) = ( 554 x 371 ) / 205534

GCD(554, 371) = 205534 / 205534

GCD(554, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

GCD of 554, 371, 45, 644 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 717, 27, 549
• GCD of 285, 135, 46, 861
• GCD of 399, 834, 12, 467
• GCD of 163, 640, 62, 895
• GCD of 400, 913, 86, 858

1. What is the GCD of 554, 371, 45, 644?

GCD of 554, 371, 45, 644 is 1

2. Where do I get the detailed procedure to find GCD of 554, 371, 45, 644?

You can find a detailed procedure to find GCD of 554, 371, 45, 644 on our page.

3. How to find GCD of 554, 371, 45, 644 on a calculator?

You can find the GCD of 554, 371, 45, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.