GCD of 123, 921, 296, 602 Calculator

Given Input numbers are 123, 921, 296, 602

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 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Greatest Common Divisior

We found the divisors of 123, 921, 296, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 921, 296, 602 is 1.

Therefore, GCD of numbers 123, 921, 296, 602 is 1

Given Input Data is 123, 921, 296, 602

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 921 is 3 x 307

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 602 is 2 x 7 x 43

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, 921) = 37761

GCD(123, 921) = ( 123 x 921 ) / 37761

GCD(123, 921) = 113283 / 37761

GCD(123, 921) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 296

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

LCM(3, 296) = 888

GCD(3, 296) = ( 3 x 296 ) / 888

GCD(3, 296) = 888 / 888

GCD(3, 296) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 602

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

LCM(1, 602) = 602

GCD(1, 602) = ( 1 x 602 ) / 602

GCD(1, 602) = 602 / 602

GCD(1, 602) = 1

GCD of 123, 921, 296, 602 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 774, 544, 805
• GCD of 210, 430, 792, 608
• GCD of 279, 367, 224, 496
• GCD of 380, 461, 648, 459
• GCD of 310, 917, 993, 591

1. What is the GCD of 123, 921, 296, 602?

GCD of 123, 921, 296, 602 is 1

2. Where do I get the detailed procedure to find GCD of 123, 921, 296, 602?

You can find a detailed procedure to find GCD of 123, 921, 296, 602 on our page.

3. How to find GCD of 123, 921, 296, 602 on a calculator?

You can find the GCD of 123, 921, 296, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.