GCD of 440, 125, 749, 890 Calculator

Given Input numbers are 440, 125, 749, 890

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 125

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

1, 5, 25, 125

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 890

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

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

Greatest Common Divisior

We found the divisors of 440, 125, 749, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 125, 749, 890 is 1.

Therefore, GCD of numbers 440, 125, 749, 890 is 1

Given Input Data is 440, 125, 749, 890

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 749 is 7 x 107

Prime Factorization of 890 is 2 x 5 x 89

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(440, 125) = 11000

GCD(440, 125) = ( 440 x 125 ) / 11000

GCD(440, 125) = 55000 / 11000

GCD(440, 125) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 749

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

LCM(5, 749) = 3745

GCD(5, 749) = ( 5 x 749 ) / 3745

GCD(5, 749) = 3745 / 3745

GCD(5, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

GCD of 440, 125, 749, 890 is 1

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1. What is the GCD of 440, 125, 749, 890?

GCD of 440, 125, 749, 890 is 1

2. Where do I get the detailed procedure to find GCD of 440, 125, 749, 890?

You can find a detailed procedure to find GCD of 440, 125, 749, 890 on our page.

3. How to find GCD of 440, 125, 749, 890 on a calculator?

You can find the GCD of 440, 125, 749, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.