GCD of 961, 438, 284, 360 Calculator

Given Input numbers are 961, 438, 284, 360

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

Divisors of 961 :

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

1, 31, 961

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (961, 438, 284, 360) = 1.

Given numbers are 961, 438, 284, 360

The list of prime factors of all numbers are

Prime factors of 961 are 31 x 31

Prime factors of 438 are 2 x 3 x 73

Prime factors of 284 are 2 x 2 x 71

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 961, 438, 284, 360

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

Apply this formula for all numbers.

Step1:

LCM(961, 438) = 420918

GCD(961, 438) = ( 961 x 438 ) / 420918

= 961 / 438

= 961

Step2:

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

= 1 / 284

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 961, 438, 284, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 971, 905, 271
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Given numbers are 961, 438, 284, 360
The greatest common divisor of numbers 961, 438, 284, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 961, 438, 284, 360 is 1.

1. What is the GCD of 961, 438, 284, 360?

GCD of given numbers 961, 438, 284, 360 is 1

2. How to calculate the greatest common divisor of 961, 438, 284, 360?

We can find the highest common divisor of 961, 438, 284, 360 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 961, 438, 284, 360 i.e 1.

3. How can I use the GCD of 961, 438, 284, 360Calculator?

Out the numbers 961, 438, 284, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.