GCD of 678, 130, 216, 909 Calculator

Given Input numbers are 678, 130, 216, 909

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

GCD of numbers is the greatest common divisor

So, the GCD (678, 130, 216, 909) = 1.

Given numbers are 678, 130, 216, 909

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 130 are 2 x 5 x 13

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 909 are 3 x 3 x 101

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

Given numbers are 678, 130, 216, 909

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

Apply this formula for all numbers.

Step1:

LCM(678, 130) = 44070

GCD(678, 130) = ( 678 x 130 ) / 44070

= 678 / 130

= 678

Step2:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

Step3:

LCM(2, 909) = 1818

GCD(2, 909) = ( 2 x 909 ) / 1818

= 2 / 909

= 2

So, Greatest Common Divisor of 678, 130, 216, 909 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 112, 623, 288
• GCD of 197, 831, 694, 923
• GCD of 355, 196, 639, 429
• GCD of 514, 912, 568, 675
• GCD of 773, 709, 222, 805

Given numbers are 678, 130, 216, 909
The greatest common divisor of numbers 678, 130, 216, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 130, 216, 909 is 1.

1. What is the GCD of 678, 130, 216, 909?

GCD of given numbers 678, 130, 216, 909 is 1

2. How to calculate the greatest common divisor of 678, 130, 216, 909?

We can find the highest common divisor of 678, 130, 216, 909 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 678, 130, 216, 909 i.e 1.

3. How can I use the GCD of 678, 130, 216, 909Calculator?

Out the numbers 678, 130, 216, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.