GCD of 546, 961, 256, 137 Calculator

Given Input numbers are 546, 961, 256, 137

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

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 546, 961, 256, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 961, 256, 137 is 1.

Therefore, GCD of numbers 546, 961, 256, 137 is 1

Given Input Data is 546, 961, 256, 137

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

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 961 is 31 x 31

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 137 is 137

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(546, 961) = 524706

GCD(546, 961) = ( 546 x 961 ) / 524706

GCD(546, 961) = 524706 / 524706

GCD(546, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1

GCD of 546, 961, 256, 137 is 1

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1. What is the GCD of 546, 961, 256, 137?

GCD of 546, 961, 256, 137 is 1

2. Where do I get the detailed procedure to find GCD of 546, 961, 256, 137?

You can find a detailed procedure to find GCD of 546, 961, 256, 137 on our page.

3. How to find GCD of 546, 961, 256, 137 on a calculator?

You can find the GCD of 546, 961, 256, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.