GCD of 924, 428, 854, 100 Calculator

Given Input numbers are 924, 428, 854, 100

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

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (924, 428, 854, 100) = 2.

Given numbers are 924, 428, 854, 100

The list of prime factors of all numbers are

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

Prime factors of 428 are 2 x 2 x 107

Prime factors of 854 are 2 x 7 x 61

Prime factors of 100 are 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 924, 428, 854, 100 is 2.

Given numbers are 924, 428, 854, 100

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

Apply this formula for all numbers.

Step1:

LCM(924, 428) = 98868

GCD(924, 428) = ( 924 x 428 ) / 98868

= 924 / 428

= 924

Step2:

LCM(4, 854) = 1708

GCD(4, 854) = ( 4 x 854 ) / 1708

= 4 / 854

= 4

Step3:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

So, Greatest Common Divisor of 924, 428, 854, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 871, 315, 135
• GCD of 250, 268, 751, 537
• GCD of 119, 813, 950, 392
• GCD of 700, 458, 728, 388
• GCD of 651, 262, 179, 335

Given numbers are 924, 428, 854, 100
The greatest common divisor of numbers 924, 428, 854, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 428, 854, 100 is 2.

1. What is the GCD of 924, 428, 854, 100?

GCD of given numbers 924, 428, 854, 100 is 2

2. How to calculate the greatest common divisor of 924, 428, 854, 100?

We can find the highest common divisor of 924, 428, 854, 100 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 924, 428, 854, 100 i.e 2.

3. How can I use the GCD of 924, 428, 854, 100Calculator?

Out the numbers 924, 428, 854, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.