GCD of 890, 642, 523, 954 Calculator

Given Input numbers are 890, 642, 523, 954

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 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 890, 642, 523, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 642, 523, 954 is 1.

Therefore, GCD of numbers 890, 642, 523, 954 is 1

Given Input Data is 890, 642, 523, 954

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 642 is 2 x 3 x 107

Prime Factorization of 523 is 523

Prime Factorization of 954 is 2 x 3 x 3 x 53

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, 642) = 285690

GCD(890, 642) = ( 890 x 642 ) / 285690

GCD(890, 642) = 571380 / 285690

GCD(890, 642) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 523

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

LCM(2, 523) = 1046

GCD(2, 523) = ( 2 x 523 ) / 1046

GCD(2, 523) = 1046 / 1046

GCD(2, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

GCD of 890, 642, 523, 954 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 709, 216, 277
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• GCD of 645, 920, 542, 440
• GCD of 219, 437, 695, 732

1. What is the GCD of 890, 642, 523, 954?

GCD of 890, 642, 523, 954 is 1

2. Where do I get the detailed procedure to find GCD of 890, 642, 523, 954?

You can find a detailed procedure to find GCD of 890, 642, 523, 954 on our page.

3. How to find GCD of 890, 642, 523, 954 on a calculator?

You can find the GCD of 890, 642, 523, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.