GCD of 412, 369, 987, 100 Calculator

Given Input numbers are 412, 369, 987, 100

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

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

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 (412, 369, 987, 100) = 1.

Given numbers are 412, 369, 987, 100

The list of prime factors of all numbers are

Prime factors of 412 are 2 x 2 x 103

Prime factors of 369 are 3 x 3 x 41

Prime factors of 987 are 3 x 7 x 47

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

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

Given numbers are 412, 369, 987, 100

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

Apply this formula for all numbers.

Step1:

LCM(412, 369) = 152028

GCD(412, 369) = ( 412 x 369 ) / 152028

= 412 / 369

= 412

Step2:

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

= 1 / 987

= 1

Step3:

LCM(1, 100) = 100

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

= 1 / 100

= 1

So, Greatest Common Divisor of 412, 369, 987, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 745, 704, 889
• GCD of 864, 709, 350, 704
• GCD of 299, 973, 672, 488
• GCD of 923, 549, 406, 776
• GCD of 250, 814, 336, 384

Given numbers are 412, 369, 987, 100
The greatest common divisor of numbers 412, 369, 987, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 369, 987, 100 is 1.

1. What is the GCD of 412, 369, 987, 100?

GCD of given numbers 412, 369, 987, 100 is 1

2. How to calculate the greatest common divisor of 412, 369, 987, 100?

We can find the highest common divisor of 412, 369, 987, 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 412, 369, 987, 100 i.e 1.

3. How can I use the GCD of 412, 369, 987, 100Calculator?

Out the numbers 412, 369, 987, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.