GCD of 678, 214, 606, 150 Calculator

Given Input numbers are 678, 214, 606, 150

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 214 :

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

1, 2, 107, 214

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

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

GCD of numbers is the greatest common divisor

So, the GCD (678, 214, 606, 150) = 2.

Given numbers are 678, 214, 606, 150

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 214 are 2 x 107

Prime factors of 606 are 2 x 3 x 101

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

The highest common occurrence is 2¹

Therefore, GCD of 678, 214, 606, 150 is 2.

Given numbers are 678, 214, 606, 150

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

Apply this formula for all numbers.

Step1:

LCM(678, 214) = 72546

GCD(678, 214) = ( 678 x 214 ) / 72546

= 678 / 214

= 678

Step2:

LCM(2, 606) = 606

GCD(2, 606) = ( 2 x 606 ) / 606

= 2 / 606

= 2

Step3:

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

= 2 / 150

= 2

So, Greatest Common Divisor of 678, 214, 606, 150 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 866, 152, 484
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• GCD of 222, 522, 314, 607

Given numbers are 678, 214, 606, 150
The greatest common divisor of numbers 678, 214, 606, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 214, 606, 150 is 2.

1. What is the GCD of 678, 214, 606, 150?

GCD of given numbers 678, 214, 606, 150 is 2

2. How to calculate the greatest common divisor of 678, 214, 606, 150?

We can find the highest common divisor of 678, 214, 606, 150 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, 214, 606, 150 i.e 2.

3. How can I use the GCD of 678, 214, 606, 150Calculator?

Out the numbers 678, 214, 606, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.