GCD of 120, 961, 634, 309 Calculator

Given Input numbers are 120, 961, 634, 309

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 961 :

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

1, 31, 961

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (120, 961, 634, 309) = 1.

Given numbers are 120, 961, 634, 309

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 961 are 31 x 31

Prime factors of 634 are 2 x 317

Prime factors of 309 are 3 x 103

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

Given numbers are 120, 961, 634, 309

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

Apply this formula for all numbers.

Step1:

LCM(120, 961) = 115320

GCD(120, 961) = ( 120 x 961 ) / 115320

= 120 / 961

= 120

Step2:

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

= 1 / 634

= 1

Step3:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

So, Greatest Common Divisor of 120, 961, 634, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 500, 455, 405
• GCD of 367, 388, 634, 480
• GCD of 234, 120, 855, 231
• GCD of 617, 193, 780, 365
• GCD of 919, 335, 287, 499

Given numbers are 120, 961, 634, 309
The greatest common divisor of numbers 120, 961, 634, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 961, 634, 309 is 1.

1. What is the GCD of 120, 961, 634, 309?

GCD of given numbers 120, 961, 634, 309 is 1

2. How to calculate the greatest common divisor of 120, 961, 634, 309?

We can find the highest common divisor of 120, 961, 634, 309 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 120, 961, 634, 309 i.e 1.

3. How can I use the GCD of 120, 961, 634, 309Calculator?

Out the numbers 120, 961, 634, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.