GCD of 108, 195, 961, 778 Calculator

Given Input numbers are 108, 195, 961, 778

In the factoring method, we have to find the divisors of all numbers

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 778 :

The positive integer divisors of 778 that completely divides 778 are.

1, 2, 389, 778

GCD of numbers is the greatest common divisor

So, the GCD (108, 195, 961, 778) = 1.

Given numbers are 108, 195, 961, 778

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 195 are 3 x 5 x 13

Prime factors of 961 are 31 x 31

Prime factors of 778 are 2 x 389

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 108, 195, 961, 778

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(108, 195) = 7020

GCD(108, 195) = ( 108 x 195 ) / 7020

= 108 / 195

= 108

Step2:

LCM(3, 961) = 2883

GCD(3, 961) = ( 3 x 961 ) / 2883

= 3 / 961

= 3

Step3:

LCM(1, 778) = 778

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

= 1 / 778

= 1

So, Greatest Common Divisor of 108, 195, 961, 778 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 190, 575, 819
• GCD of 857, 234, 318, 182
• GCD of 240, 462, 456, 563
• GCD of 104, 950, 340, 523
• GCD of 529, 441, 444, 584

Given numbers are 108, 195, 961, 778
The greatest common divisor of numbers 108, 195, 961, 778 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 195, 961, 778 is 1.

1. What is the GCD of 108, 195, 961, 778?

GCD of given numbers 108, 195, 961, 778 is 1

2. How to calculate the greatest common divisor of 108, 195, 961, 778?

We can find the highest common divisor of 108, 195, 961, 778 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 108, 195, 961, 778 i.e 1.

3. How can I use the GCD of 108, 195, 961, 778Calculator?

Out the numbers 108, 195, 961, 778 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.