GCD of 960, 456, 165, 461 Calculator

Given Input numbers are 960, 456, 165, 461

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

GCD of numbers is the greatest common divisor

So, the GCD (960, 456, 165, 461) = 1.

Given numbers are 960, 456, 165, 461

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 165 are 3 x 5 x 11

Prime factors of 461 are 461

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

Given numbers are 960, 456, 165, 461

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

Apply this formula for all numbers.

Step1:

LCM(960, 456) = 18240

GCD(960, 456) = ( 960 x 456 ) / 18240

= 960 / 456

= 960

Step2:

LCM(24, 165) = 1320

GCD(24, 165) = ( 24 x 165 ) / 1320

= 24 / 165

= 24

Step3:

LCM(3, 461) = 1383

GCD(3, 461) = ( 3 x 461 ) / 1383

= 3 / 461

= 3

So, Greatest Common Divisor of 960, 456, 165, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 177, 813, 666
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• GCD of 301, 122, 887, 464
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Given numbers are 960, 456, 165, 461
The greatest common divisor of numbers 960, 456, 165, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 456, 165, 461 is 1.

1. What is the GCD of 960, 456, 165, 461?

GCD of given numbers 960, 456, 165, 461 is 1

2. How to calculate the greatest common divisor of 960, 456, 165, 461?

We can find the highest common divisor of 960, 456, 165, 461 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 960, 456, 165, 461 i.e 1.

3. How can I use the GCD of 960, 456, 165, 461Calculator?

Out the numbers 960, 456, 165, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.