GCD of 360, 495, 961, 375 Calculator

Given Input numbers are 360, 495, 961, 375

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

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 961 :

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

1, 31, 961

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

GCD of numbers is the greatest common divisor

So, the GCD (360, 495, 961, 375) = 1.

Given numbers are 360, 495, 961, 375

The list of prime factors of all numbers are

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

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 961 are 31 x 31

Prime factors of 375 are 3 x 5 x 5 x 5

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

Given numbers are 360, 495, 961, 375

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

Apply this formula for all numbers.

Step1:

LCM(360, 495) = 3960

GCD(360, 495) = ( 360 x 495 ) / 3960

= 360 / 495

= 360

Step2:

LCM(45, 961) = 43245

GCD(45, 961) = ( 45 x 961 ) / 43245

= 45 / 961

= 45

Step3:

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

= 1 / 375

= 1

So, Greatest Common Divisor of 360, 495, 961, 375 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 283, 943, 457
• GCD of 829, 228, 625, 859
• GCD of 321, 681, 142, 503
• GCD of 390, 702, 652, 448
• GCD of 706, 720, 442, 496

Given numbers are 360, 495, 961, 375
The greatest common divisor of numbers 360, 495, 961, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 495, 961, 375 is 1.

1. What is the GCD of 360, 495, 961, 375?

GCD of given numbers 360, 495, 961, 375 is 1

2. How to calculate the greatest common divisor of 360, 495, 961, 375?

We can find the highest common divisor of 360, 495, 961, 375 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 360, 495, 961, 375 i.e 1.

3. How can I use the GCD of 360, 495, 961, 375Calculator?

Out the numbers 360, 495, 961, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.