GCD of 920, 132, 45, 924 Calculator

Given Input numbers are 920, 132, 45, 924

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (920, 132, 45, 924) = 1.

Given numbers are 920, 132, 45, 924

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 45 are 3 x 3 x 5

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

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

Given numbers are 920, 132, 45, 924

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

Apply this formula for all numbers.

Step1:

LCM(920, 132) = 30360

GCD(920, 132) = ( 920 x 132 ) / 30360

= 920 / 132

= 920

Step2:

LCM(4, 45) = 180

GCD(4, 45) = ( 4 x 45 ) / 180

= 4 / 45

= 4

Step3:

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

= 1 / 924

= 1

So, Greatest Common Divisor of 920, 132, 45, 924 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 748, 905, 40, 199
• GCD of 407, 351, 95, 589
• GCD of 797, 737, 14, 450
• GCD of 677, 162, 17, 518
• GCD of 266, 158, 82, 340

Given numbers are 920, 132, 45, 924
The greatest common divisor of numbers 920, 132, 45, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 132, 45, 924 is 1.

1. What is the GCD of 920, 132, 45, 924?

GCD of given numbers 920, 132, 45, 924 is 1

2. How to calculate the greatest common divisor of 920, 132, 45, 924?

We can find the highest common divisor of 920, 132, 45, 924 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 920, 132, 45, 924 i.e 1.

3. How can I use the GCD of 920, 132, 45, 924Calculator?

Out the numbers 920, 132, 45, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.