GCD of 360, 985, 965, 961 Calculator

Given Input numbers are 360, 985, 965, 961

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 985 :

The positive integer divisors of 985 that completely divides 985 are.

1, 5, 197, 985

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

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 (360, 985, 965, 961) = 1.

Given numbers are 360, 985, 965, 961

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 985 are 5 x 197

Prime factors of 965 are 5 x 193

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 360, 985, 965, 961

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

Apply this formula for all numbers.

Step1:

LCM(360, 985) = 70920

GCD(360, 985) = ( 360 x 985 ) / 70920

= 360 / 985

= 360

Step2:

LCM(5, 965) = 965

GCD(5, 965) = ( 5 x 965 ) / 965

= 5 / 965

= 5

Step3:

LCM(5, 961) = 4805

GCD(5, 961) = ( 5 x 961 ) / 4805

= 5 / 961

= 5

So, Greatest Common Divisor of 360, 985, 965, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 263, 950, 294
• GCD of 595, 708, 147, 792
• GCD of 424, 888, 978, 333
• GCD of 942, 334, 371, 793
• GCD of 147, 791, 493, 472

Given numbers are 360, 985, 965, 961
The greatest common divisor of numbers 360, 985, 965, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 985, 965, 961 is 1.

1. What is the GCD of 360, 985, 965, 961?

GCD of given numbers 360, 985, 965, 961 is 1

2. How to calculate the greatest common divisor of 360, 985, 965, 961?

We can find the highest common divisor of 360, 985, 965, 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 360, 985, 965, 961 i.e 1.

3. How can I use the GCD of 360, 985, 965, 961Calculator?

Out the numbers 360, 985, 965, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.