GCD of 74, 708, 896, 921 Calculator

Given Input numbers are 74, 708, 896, 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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

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, 708, 896, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 708, 896, 921 is 1.

Therefore, GCD of numbers 74, 708, 896, 921 is 1

Given Input Data is 74, 708, 896, 921

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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, 708) = 26196

GCD(74, 708) = ( 74 x 708 ) / 26196

GCD(74, 708) = 52392 / 26196

GCD(74, 708) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 896

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

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

GCD(2, 896) = 1792 / 896

GCD(2, 896) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 921

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

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

GCD(2, 921) = 1842 / 1842

GCD(2, 921) = 1

GCD of 74, 708, 896, 921 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 74, 708, 896, 921?

GCD of 74, 708, 896, 921 is 1

2. Where do I get the detailed procedure to find GCD of 74, 708, 896, 921?

You can find a detailed procedure to find GCD of 74, 708, 896, 921 on our page.

3. How to find GCD of 74, 708, 896, 921 on a calculator?

You can find the GCD of 74, 708, 896, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.