GCD of 890, 371, 457, 749 Calculator

Given Input numbers are 890, 371, 457, 749

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

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 371

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

1, 7, 53, 371

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 749

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

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 890, 371, 457, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 371, 457, 749 is 1.

Therefore, GCD of numbers 890, 371, 457, 749 is 1

Given Input Data is 890, 371, 457, 749

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 371 is 7 x 53

Prime Factorization of 457 is 457

Prime Factorization of 749 is 7 x 107

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(890, 371) = 330190

GCD(890, 371) = ( 890 x 371 ) / 330190

GCD(890, 371) = 330190 / 330190

GCD(890, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 890, 371, 457, 749 is 1

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1. What is the GCD of 890, 371, 457, 749?

GCD of 890, 371, 457, 749 is 1

2. Where do I get the detailed procedure to find GCD of 890, 371, 457, 749?

You can find a detailed procedure to find GCD of 890, 371, 457, 749 on our page.

3. How to find GCD of 890, 371, 457, 749 on a calculator?

You can find the GCD of 890, 371, 457, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.