GCD of 961, 861, 105, 778 Calculator

Given Input numbers are 961, 861, 105, 778

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

Divisors of 961

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

1, 31, 961

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Greatest Common Divisior

We found the divisors of 961, 861, 105, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 861, 105, 778 is 1.

Therefore, GCD of numbers 961, 861, 105, 778 is 1

Given Input Data is 961, 861, 105, 778

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 778 is 2 x 389

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(961, 861) = 827421

GCD(961, 861) = ( 961 x 861 ) / 827421

GCD(961, 861) = 827421 / 827421

GCD(961, 861) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 778

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

LCM(1, 778) = 778

GCD(1, 778) = ( 1 x 778 ) / 778

GCD(1, 778) = 778 / 778

GCD(1, 778) = 1

GCD of 961, 861, 105, 778 is 1

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1. What is the GCD of 961, 861, 105, 778?

GCD of 961, 861, 105, 778 is 1

2. Where do I get the detailed procedure to find GCD of 961, 861, 105, 778?

You can find a detailed procedure to find GCD of 961, 861, 105, 778 on our page.

3. How to find GCD of 961, 861, 105, 778 on a calculator?

You can find the GCD of 961, 861, 105, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.