GCD of 74, 873, 852, 921 Calculator

Given Input numbers are 74, 873, 852, 921

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 921

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

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 74, 873, 852, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 873, 852, 921 is 1.

Therefore, GCD of numbers 74, 873, 852, 921 is 1

Given Input Data is 74, 873, 852, 921

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 921 is 3 x 307

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(74, 873) = 64602

GCD(74, 873) = ( 74 x 873 ) / 64602

GCD(74, 873) = 64602 / 64602

GCD(74, 873) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 74, 873, 852, 921 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 525, 337, 883
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• GCD of 50, 750, 884, 103
• GCD of 90, 207, 549, 115
• GCD of 85, 754, 930, 477

1. What is the GCD of 74, 873, 852, 921?

GCD of 74, 873, 852, 921 is 1

2. Where do I get the detailed procedure to find GCD of 74, 873, 852, 921?

You can find a detailed procedure to find GCD of 74, 873, 852, 921 on our page.

3. How to find GCD of 74, 873, 852, 921 on a calculator?

You can find the GCD of 74, 873, 852, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.