GCD of 54, 177, 352, 921 Calculator

Given Input numbers are 54, 177, 352, 921

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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 54, 177, 352, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 177, 352, 921 is 1.

Therefore, GCD of numbers 54, 177, 352, 921 is 1

Given Input Data is 54, 177, 352, 921

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 177 is 3 x 59

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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(54, 177) = 3186

GCD(54, 177) = ( 54 x 177 ) / 3186

GCD(54, 177) = 9558 / 3186

GCD(54, 177) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 352

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

LCM(3, 352) = 1056

GCD(3, 352) = ( 3 x 352 ) / 1056

GCD(3, 352) = 1056 / 1056

GCD(3, 352) = 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 54, 177, 352, 921 is 1

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• GCD of 64, 913, 574, 399
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1. What is the GCD of 54, 177, 352, 921?

GCD of 54, 177, 352, 921 is 1

2. Where do I get the detailed procedure to find GCD of 54, 177, 352, 921?

You can find a detailed procedure to find GCD of 54, 177, 352, 921 on our page.

3. How to find GCD of 54, 177, 352, 921 on a calculator?

You can find the GCD of 54, 177, 352, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.