GCD of 123, 645, 902, 771 Calculator

Given Input numbers are 123, 645, 902, 771

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 123, 645, 902, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 645, 902, 771 is 1.

Therefore, GCD of numbers 123, 645, 902, 771 is 1

Given Input Data is 123, 645, 902, 771

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 771 is 3 x 257

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(123, 645) = 26445

GCD(123, 645) = ( 123 x 645 ) / 26445

GCD(123, 645) = 79335 / 26445

GCD(123, 645) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 902

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

LCM(3, 902) = 2706

GCD(3, 902) = ( 3 x 902 ) / 2706

GCD(3, 902) = 2706 / 2706

GCD(3, 902) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

GCD of 123, 645, 902, 771 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 386, 622, 494
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• GCD of 603, 446, 214, 794
• GCD of 814, 462, 958, 913
• GCD of 947, 509, 322, 777

1. What is the GCD of 123, 645, 902, 771?

GCD of 123, 645, 902, 771 is 1

2. Where do I get the detailed procedure to find GCD of 123, 645, 902, 771?

You can find a detailed procedure to find GCD of 123, 645, 902, 771 on our page.

3. How to find GCD of 123, 645, 902, 771 on a calculator?

You can find the GCD of 123, 645, 902, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.