GCD of 306, 880, 62, 961 Calculator

Given Input numbers are 306, 880, 62, 961

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 961

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

1, 31, 961

Greatest Common Divisior

We found the divisors of 306, 880, 62, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 880, 62, 961 is 1.

Therefore, GCD of numbers 306, 880, 62, 961 is 1

Given Input Data is 306, 880, 62, 961

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 62 is 2 x 31

Prime Factorization of 961 is 31 x 31

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(306, 880) = 134640

GCD(306, 880) = ( 306 x 880 ) / 134640

GCD(306, 880) = 269280 / 134640

GCD(306, 880) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 62

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

LCM(2, 62) = 62

GCD(2, 62) = ( 2 x 62 ) / 62

GCD(2, 62) = 124 / 62

GCD(2, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 961

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

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

GCD(2, 961) = 1922 / 1922

GCD(2, 961) = 1

GCD of 306, 880, 62, 961 is 1

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1. What is the GCD of 306, 880, 62, 961?

GCD of 306, 880, 62, 961 is 1

2. Where do I get the detailed procedure to find GCD of 306, 880, 62, 961?

You can find a detailed procedure to find GCD of 306, 880, 62, 961 on our page.

3. How to find GCD of 306, 880, 62, 961 on a calculator?

You can find the GCD of 306, 880, 62, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.