GCD of 605, 649, 890, 125 Calculator

Given Input numbers are 605, 649, 890, 125

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

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 649

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

1, 11, 59, 649

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 605, 649, 890, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 605, 649, 890, 125 is 1.

Therefore, GCD of numbers 605, 649, 890, 125 is 1

Given Input Data is 605, 649, 890, 125

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

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 649 is 11 x 59

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 125 is 5 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(605, 649) = 35695

GCD(605, 649) = ( 605 x 649 ) / 35695

GCD(605, 649) = 392645 / 35695

GCD(605, 649) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 890

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

LCM(11, 890) = 9790

GCD(11, 890) = ( 11 x 890 ) / 9790

GCD(11, 890) = 9790 / 9790

GCD(11, 890) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

GCD of 605, 649, 890, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 353, 218, 215, 751
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• GCD of 399, 173, 914, 811

1. What is the GCD of 605, 649, 890, 125?

GCD of 605, 649, 890, 125 is 1

2. Where do I get the detailed procedure to find GCD of 605, 649, 890, 125?

You can find a detailed procedure to find GCD of 605, 649, 890, 125 on our page.

3. How to find GCD of 605, 649, 890, 125 on a calculator?

You can find the GCD of 605, 649, 890, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.