GCD of 989, 393, 100, 824 Calculator

Given Input numbers are 989, 393, 100, 824

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

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

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 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (989, 393, 100, 824) = 1.

Given numbers are 989, 393, 100, 824

The list of prime factors of all numbers are

Prime factors of 989 are 23 x 43

Prime factors of 393 are 3 x 131

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

Prime factors of 824 are 2 x 2 x 2 x 103

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

Given numbers are 989, 393, 100, 824

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

Apply this formula for all numbers.

Step1:

LCM(989, 393) = 388677

GCD(989, 393) = ( 989 x 393 ) / 388677

= 989 / 393

= 989

Step2:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

Step3:

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

= 1 / 824

= 1

So, Greatest Common Divisor of 989, 393, 100, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 717, 500, 338
• GCD of 668, 864, 631, 934
• GCD of 844, 839, 369, 218
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• GCD of 879, 338, 273, 798

Given numbers are 989, 393, 100, 824
The greatest common divisor of numbers 989, 393, 100, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 393, 100, 824 is 1.

1. What is the GCD of 989, 393, 100, 824?

GCD of given numbers 989, 393, 100, 824 is 1

2. How to calculate the greatest common divisor of 989, 393, 100, 824?

We can find the highest common divisor of 989, 393, 100, 824 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 989, 393, 100, 824 i.e 1.

3. How can I use the GCD of 989, 393, 100, 824Calculator?

Out the numbers 989, 393, 100, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.