GCD of 120, 230, 446, 961 Calculator

Given Input numbers are 120, 230, 446, 961

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 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 961 :

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

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (120, 230, 446, 961) = 1.

Given numbers are 120, 230, 446, 961

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 230 are 2 x 5 x 23

Prime factors of 446 are 2 x 223

Prime factors of 961 are 31 x 31

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

Given numbers are 120, 230, 446, 961

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

Apply this formula for all numbers.

Step1:

LCM(120, 230) = 2760

GCD(120, 230) = ( 120 x 230 ) / 2760

= 120 / 230

= 120

Step2:

LCM(10, 446) = 2230

GCD(10, 446) = ( 10 x 446 ) / 2230

= 10 / 446

= 10

Step3:

LCM(2, 961) = 1922

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

= 2 / 961

= 2

So, Greatest Common Divisor of 120, 230, 446, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 534, 748, 453
• GCD of 106, 914, 180, 887
• GCD of 211, 720, 935, 952
• GCD of 267, 570, 539, 142
• GCD of 355, 196, 482, 942

Given numbers are 120, 230, 446, 961
The greatest common divisor of numbers 120, 230, 446, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 230, 446, 961 is 1.

1. What is the GCD of 120, 230, 446, 961?

GCD of given numbers 120, 230, 446, 961 is 1

2. How to calculate the greatest common divisor of 120, 230, 446, 961?

We can find the highest common divisor of 120, 230, 446, 961 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, 230, 446, 961 i.e 1.

3. How can I use the GCD of 120, 230, 446, 961Calculator?

Out the numbers 120, 230, 446, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.