GCD of 814, 152, 216, 650 Calculator

Given Input numbers are 814, 152, 216, 650

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

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 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

GCD of numbers is the greatest common divisor

So, the GCD (814, 152, 216, 650) = 2.

Given numbers are 814, 152, 216, 650

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 152 are 2 x 2 x 2 x 19

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

Prime factors of 650 are 2 x 5 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 814, 152, 216, 650 is 2.

Given numbers are 814, 152, 216, 650

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

Apply this formula for all numbers.

Step1:

LCM(814, 152) = 61864

GCD(814, 152) = ( 814 x 152 ) / 61864

= 814 / 152

= 814

Step2:

LCM(2, 216) = 216

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

= 2 / 216

= 2

Step3:

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

= 2 / 650

= 2

So, Greatest Common Divisor of 814, 152, 216, 650 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 589, 834, 772
• GCD of 151, 667, 941, 453
• GCD of 415, 944, 812, 686
• GCD of 620, 328, 160, 595
• GCD of 352, 146, 629, 542

Given numbers are 814, 152, 216, 650
The greatest common divisor of numbers 814, 152, 216, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 152, 216, 650 is 2.

1. What is the GCD of 814, 152, 216, 650?

GCD of given numbers 814, 152, 216, 650 is 2

2. How to calculate the greatest common divisor of 814, 152, 216, 650?

We can find the highest common divisor of 814, 152, 216, 650 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 814, 152, 216, 650 i.e 2.

3. How can I use the GCD of 814, 152, 216, 650Calculator?

Out the numbers 814, 152, 216, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.