GCD of 921, 384, 120, 456 Calculator

Given Input numbers are 921, 384, 120, 456

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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 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

GCD of numbers is the greatest common divisor

So, the GCD (921, 384, 120, 456) = 3.

Given numbers are 921, 384, 120, 456

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

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

The highest common occurrence is 3¹

Therefore, GCD of 921, 384, 120, 456 is 3.

Given numbers are 921, 384, 120, 456

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

Apply this formula for all numbers.

Step1:

LCM(921, 384) = 117888

GCD(921, 384) = ( 921 x 384 ) / 117888

= 921 / 384

= 921

Step2:

LCM(3, 120) = 120

GCD(3, 120) = ( 3 x 120 ) / 120

= 3 / 120

= 3

Step3:

LCM(3, 456) = 456

GCD(3, 456) = ( 3 x 456 ) / 456

= 3 / 456

= 3

So, Greatest Common Divisor of 921, 384, 120, 456 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 479, 855, 142
• GCD of 514, 319, 244, 893
• GCD of 320, 168, 115, 918
• GCD of 290, 104, 365, 208
• GCD of 547, 523, 357, 772

Given numbers are 921, 384, 120, 456
The greatest common divisor of numbers 921, 384, 120, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 384, 120, 456 is 3.

1. What is the GCD of 921, 384, 120, 456?

GCD of given numbers 921, 384, 120, 456 is 3

2. How to calculate the greatest common divisor of 921, 384, 120, 456?

We can find the highest common divisor of 921, 384, 120, 456 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 921, 384, 120, 456 i.e 3.

3. How can I use the GCD of 921, 384, 120, 456Calculator?

Out the numbers 921, 384, 120, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.