GCD of 649, 500, 45, 377 Calculator

Given Input numbers are 649, 500, 45, 377

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

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 649, 500, 45, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 500, 45, 377 is 1.

Therefore, GCD of numbers 649, 500, 45, 377 is 1

Given Input Data is 649, 500, 45, 377

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 377 is 13 x 29

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(649, 500) = 324500

GCD(649, 500) = ( 649 x 500 ) / 324500

GCD(649, 500) = 324500 / 324500

GCD(649, 500) = 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 377

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

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

GCD(1, 377) = 377 / 377

GCD(1, 377) = 1

GCD of 649, 500, 45, 377 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 571, 90, 408
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• GCD of 822, 241, 84, 580
• GCD of 304, 196, 58, 429
• GCD of 738, 271, 49, 672

1. What is the GCD of 649, 500, 45, 377?

GCD of 649, 500, 45, 377 is 1

2. Where do I get the detailed procedure to find GCD of 649, 500, 45, 377?

You can find a detailed procedure to find GCD of 649, 500, 45, 377 on our page.

3. How to find GCD of 649, 500, 45, 377 on a calculator?

You can find the GCD of 649, 500, 45, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.