GCD of 218, 380, 312, 100 Calculator

Given Input numbers are 218, 380, 312, 100

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

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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 (218, 380, 312, 100) = 2.

Given numbers are 218, 380, 312, 100

The list of prime factors of all numbers are

Prime factors of 218 are 2 x 109

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 218, 380, 312, 100 is 2.

Given numbers are 218, 380, 312, 100

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

Apply this formula for all numbers.

Step1:

LCM(218, 380) = 41420

GCD(218, 380) = ( 218 x 380 ) / 41420

= 218 / 380

= 218

Step2:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

Step3:

LCM(2, 100) = 100

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

= 2 / 100

= 2

So, Greatest Common Divisor of 218, 380, 312, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 542, 672, 858
• GCD of 816, 417, 506, 572
• GCD of 620, 443, 786, 961
• GCD of 295, 184, 701, 587
• GCD of 836, 371, 188, 383

Given numbers are 218, 380, 312, 100
The greatest common divisor of numbers 218, 380, 312, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 380, 312, 100 is 2.

1. What is the GCD of 218, 380, 312, 100?

GCD of given numbers 218, 380, 312, 100 is 2

2. How to calculate the greatest common divisor of 218, 380, 312, 100?

We can find the highest common divisor of 218, 380, 312, 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 218, 380, 312, 100 i.e 2.

3. How can I use the GCD of 218, 380, 312, 100Calculator?

Out the numbers 218, 380, 312, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.