GCD of 898, 984, 100, 324 Calculator

Given Input numbers are 898, 984, 100, 324

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

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 100 :

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

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

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

GCD of numbers is the greatest common divisor

So, the GCD (898, 984, 100, 324) = 2.

Given numbers are 898, 984, 100, 324

The list of prime factors of all numbers are

Prime factors of 898 are 2 x 449

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 898, 984, 100, 324 is 2.

Given numbers are 898, 984, 100, 324

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

Apply this formula for all numbers.

Step1:

LCM(898, 984) = 441816

GCD(898, 984) = ( 898 x 984 ) / 441816

= 898 / 984

= 898

Step2:

LCM(2, 100) = 100

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

= 2 / 100

= 2

Step3:

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

= 2 / 324

= 2

So, Greatest Common Divisor of 898, 984, 100, 324 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 352, 580, 586
• GCD of 244, 573, 291, 972
• GCD of 831, 925, 584, 585
• GCD of 368, 805, 358, 850
• GCD of 319, 491, 811, 996

Given numbers are 898, 984, 100, 324
The greatest common divisor of numbers 898, 984, 100, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 984, 100, 324 is 2.

1. What is the GCD of 898, 984, 100, 324?

GCD of given numbers 898, 984, 100, 324 is 2

2. How to calculate the greatest common divisor of 898, 984, 100, 324?

We can find the highest common divisor of 898, 984, 100, 324 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 898, 984, 100, 324 i.e 2.

3. How can I use the GCD of 898, 984, 100, 324Calculator?

Out the numbers 898, 984, 100, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.