GCD of 108, 772, 465, 924 Calculator

Given Input numbers are 108, 772, 465, 924

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

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 (108, 772, 465, 924) = 1.

Given numbers are 108, 772, 465, 924

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 772 are 2 x 2 x 193

Prime factors of 465 are 3 x 5 x 31

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 108, 772, 465, 924

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

Apply this formula for all numbers.

Step1:

LCM(108, 772) = 20844

GCD(108, 772) = ( 108 x 772 ) / 20844

= 108 / 772

= 108

Step2:

LCM(4, 465) = 1860

GCD(4, 465) = ( 4 x 465 ) / 1860

= 4 / 465

= 4

Step3:

LCM(1, 924) = 924

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

= 1 / 924

= 1

So, Greatest Common Divisor of 108, 772, 465, 924 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 809, 981, 461
• GCD of 148, 436, 780, 717
• GCD of 242, 557, 133, 388
• GCD of 112, 466, 397, 493
• GCD of 654, 500, 209, 243

Given numbers are 108, 772, 465, 924
The greatest common divisor of numbers 108, 772, 465, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 772, 465, 924 is 1.

1. What is the GCD of 108, 772, 465, 924?

GCD of given numbers 108, 772, 465, 924 is 1

2. How to calculate the greatest common divisor of 108, 772, 465, 924?

We can find the highest common divisor of 108, 772, 465, 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 108, 772, 465, 924 i.e 1.

3. How can I use the GCD of 108, 772, 465, 924Calculator?

Out the numbers 108, 772, 465, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.