GCD of 274, 884, 54, 661 Calculator

Given Input numbers are 274, 884, 54, 661

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

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 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 274, 884, 54, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 884, 54, 661 is 1.

Therefore, GCD of numbers 274, 884, 54, 661 is 1

Given Input Data is 274, 884, 54, 661

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 884 is 2 x 2 x 13 x 17

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

Prime Factorization of 661 is 661

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(274, 884) = 121108

GCD(274, 884) = ( 274 x 884 ) / 121108

GCD(274, 884) = 242216 / 121108

GCD(274, 884) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 661

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

LCM(2, 661) = 1322

GCD(2, 661) = ( 2 x 661 ) / 1322

GCD(2, 661) = 1322 / 1322

GCD(2, 661) = 1

GCD of 274, 884, 54, 661 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 880, 27, 783
• GCD of 695, 641, 97, 631
• GCD of 244, 868, 80, 771
• GCD of 549, 298, 56, 663
• GCD of 524, 583, 35, 209

1. What is the GCD of 274, 884, 54, 661?

GCD of 274, 884, 54, 661 is 1

2. Where do I get the detailed procedure to find GCD of 274, 884, 54, 661?

You can find a detailed procedure to find GCD of 274, 884, 54, 661 on our page.

3. How to find GCD of 274, 884, 54, 661 on a calculator?

You can find the GCD of 274, 884, 54, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.