GCD of 100, 214, 437, 116 Calculator

Given Input numbers are 100, 214, 437, 116

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

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 437 :

The positive integer divisors of 437 that completely divides 437 are.

1, 19, 23, 437

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (100, 214, 437, 116) = 1.

Given numbers are 100, 214, 437, 116

The list of prime factors of all numbers are

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

Prime factors of 214 are 2 x 107

Prime factors of 437 are 19 x 23

Prime factors of 116 are 2 x 2 x 29

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

Given numbers are 100, 214, 437, 116

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

Apply this formula for all numbers.

Step1:

LCM(100, 214) = 10700

GCD(100, 214) = ( 100 x 214 ) / 10700

= 100 / 214

= 100

Step2:

LCM(2, 437) = 874

GCD(2, 437) = ( 2 x 437 ) / 874

= 2 / 437

= 2

Step3:

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

= 1 / 116

= 1

So, Greatest Common Divisor of 100, 214, 437, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 646, 280, 288
• GCD of 177, 215, 784, 684
• GCD of 466, 730, 935, 195
• GCD of 633, 544, 207, 965
• GCD of 397, 340, 913, 606

Given numbers are 100, 214, 437, 116
The greatest common divisor of numbers 100, 214, 437, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 214, 437, 116 is 1.

1. What is the GCD of 100, 214, 437, 116?

GCD of given numbers 100, 214, 437, 116 is 1

2. How to calculate the greatest common divisor of 100, 214, 437, 116?

We can find the highest common divisor of 100, 214, 437, 116 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 100, 214, 437, 116 i.e 1.

3. How can I use the GCD of 100, 214, 437, 116Calculator?

Out the numbers 100, 214, 437, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.