GCD of 366, 150, 100, 217 Calculator

Given Input numbers are 366, 150, 100, 217

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

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

GCD of numbers is the greatest common divisor

So, the GCD (366, 150, 100, 217) = 1.

Given numbers are 366, 150, 100, 217

The list of prime factors of all numbers are

Prime factors of 366 are 2 x 3 x 61

Prime factors of 150 are 2 x 3 x 5 x 5

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

Prime factors of 217 are 7 x 31

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

Given numbers are 366, 150, 100, 217

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

Apply this formula for all numbers.

Step1:

LCM(366, 150) = 9150

GCD(366, 150) = ( 366 x 150 ) / 9150

= 366 / 150

= 366

Step2:

LCM(6, 100) = 300

GCD(6, 100) = ( 6 x 100 ) / 300

= 6 / 100

= 6

Step3:

LCM(2, 217) = 434

GCD(2, 217) = ( 2 x 217 ) / 434

= 2 / 217

= 2

So, Greatest Common Divisor of 366, 150, 100, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 571, 749, 373
• GCD of 832, 665, 241, 387
• GCD of 401, 707, 938, 277
• GCD of 128, 907, 142, 713
• GCD of 329, 256, 258, 544

Given numbers are 366, 150, 100, 217
The greatest common divisor of numbers 366, 150, 100, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 366, 150, 100, 217 is 1.

1. What is the GCD of 366, 150, 100, 217?

GCD of given numbers 366, 150, 100, 217 is 1

2. How to calculate the greatest common divisor of 366, 150, 100, 217?

We can find the highest common divisor of 366, 150, 100, 217 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 366, 150, 100, 217 i.e 1.

3. How can I use the GCD of 366, 150, 100, 217Calculator?

Out the numbers 366, 150, 100, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.