GCD of 512, 120, 461, 890 Calculator

Given Input numbers are 512, 120, 461, 890

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

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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 461 :

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

1, 461

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

GCD of numbers is the greatest common divisor

So, the GCD (512, 120, 461, 890) = 1.

Given numbers are 512, 120, 461, 890

The list of prime factors of all numbers are

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 461 are 461

Prime factors of 890 are 2 x 5 x 89

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

Given numbers are 512, 120, 461, 890

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

Apply this formula for all numbers.

Step1:

LCM(512, 120) = 7680

GCD(512, 120) = ( 512 x 120 ) / 7680

= 512 / 120

= 512

Step2:

LCM(8, 461) = 3688

GCD(8, 461) = ( 8 x 461 ) / 3688

= 8 / 461

= 8

Step3:

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

= 1 / 890

= 1

So, Greatest Common Divisor of 512, 120, 461, 890 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 247, 818, 829
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• GCD of 999, 506, 948, 852
• GCD of 426, 773, 432, 297

Given numbers are 512, 120, 461, 890
The greatest common divisor of numbers 512, 120, 461, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 120, 461, 890 is 1.

1. What is the GCD of 512, 120, 461, 890?

GCD of given numbers 512, 120, 461, 890 is 1

2. How to calculate the greatest common divisor of 512, 120, 461, 890?

We can find the highest common divisor of 512, 120, 461, 890 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 512, 120, 461, 890 i.e 1.

3. How can I use the GCD of 512, 120, 461, 890Calculator?

Out the numbers 512, 120, 461, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.