GCD of 54, 421, 948, 617 Calculator

Given Input numbers are 54, 421, 948, 617

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 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 54, 421, 948, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 421, 948, 617 is 1.

Therefore, GCD of numbers 54, 421, 948, 617 is 1

Given Input Data is 54, 421, 948, 617

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 421 is 421

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 617 is 617

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, 421) = 22734

GCD(54, 421) = ( 54 x 421 ) / 22734

GCD(54, 421) = 22734 / 22734

GCD(54, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 617

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

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

GCD(1, 617) = 617 / 617

GCD(1, 617) = 1

GCD of 54, 421, 948, 617 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 562, 177, 414
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• GCD of 11, 909, 937, 463

1. What is the GCD of 54, 421, 948, 617?

GCD of 54, 421, 948, 617 is 1

2. Where do I get the detailed procedure to find GCD of 54, 421, 948, 617?

You can find a detailed procedure to find GCD of 54, 421, 948, 617 on our page.

3. How to find GCD of 54, 421, 948, 617 on a calculator?

You can find the GCD of 54, 421, 948, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.