GCD of 890, 704, 601, 431 Calculator

Given Input numbers are 890, 704, 601, 431

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 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 890, 704, 601, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 704, 601, 431 is 1.

Therefore, GCD of numbers 890, 704, 601, 431 is 1

Given Input Data is 890, 704, 601, 431

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 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 601 is 601

Prime Factorization of 431 is 431

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, 704) = 313280

GCD(890, 704) = ( 890 x 704 ) / 313280

GCD(890, 704) = 626560 / 313280

GCD(890, 704) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 601

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

LCM(2, 601) = 1202

GCD(2, 601) = ( 2 x 601 ) / 1202

GCD(2, 601) = 1202 / 1202

GCD(2, 601) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 890, 704, 601, 431 is 1

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1. What is the GCD of 890, 704, 601, 431?

GCD of 890, 704, 601, 431 is 1

2. Where do I get the detailed procedure to find GCD of 890, 704, 601, 431?

You can find a detailed procedure to find GCD of 890, 704, 601, 431 on our page.

3. How to find GCD of 890, 704, 601, 431 on a calculator?

You can find the GCD of 890, 704, 601, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.