GCD of 159, 284, 395, 100 Calculator

Given Input numbers are 159, 284, 395, 100

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

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

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 (159, 284, 395, 100) = 1.

Given numbers are 159, 284, 395, 100

The list of prime factors of all numbers are

Prime factors of 159 are 3 x 53

Prime factors of 284 are 2 x 2 x 71

Prime factors of 395 are 5 x 79

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 159, 284, 395, 100

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

Apply this formula for all numbers.

Step1:

LCM(159, 284) = 45156

GCD(159, 284) = ( 159 x 284 ) / 45156

= 159 / 284

= 159

Step2:

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

= 1 / 395

= 1

Step3:

LCM(1, 100) = 100

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

= 1 / 100

= 1

So, Greatest Common Divisor of 159, 284, 395, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 820, 343, 206
• GCD of 111, 653, 661, 156
• GCD of 226, 523, 135, 502
• GCD of 972, 395, 936, 276
• GCD of 830, 599, 135, 110

Given numbers are 159, 284, 395, 100
The greatest common divisor of numbers 159, 284, 395, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 284, 395, 100 is 1.

1. What is the GCD of 159, 284, 395, 100?

GCD of given numbers 159, 284, 395, 100 is 1

2. How to calculate the greatest common divisor of 159, 284, 395, 100?

We can find the highest common divisor of 159, 284, 395, 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 159, 284, 395, 100 i.e 1.

3. How can I use the GCD of 159, 284, 395, 100Calculator?

Out the numbers 159, 284, 395, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.