GCD of 162, 144, 614, 650 Calculator

Given Input numbers are 162, 144, 614, 650

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

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

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 (162, 144, 614, 650) = 2.

Given numbers are 162, 144, 614, 650

The list of prime factors of all numbers are

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 614 are 2 x 307

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

The highest common occurrence is 2¹

Therefore, GCD of 162, 144, 614, 650 is 2.

Given numbers are 162, 144, 614, 650

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

Apply this formula for all numbers.

Step1:

LCM(162, 144) = 1296

GCD(162, 144) = ( 162 x 144 ) / 1296

= 162 / 144

= 162

Step2:

LCM(18, 614) = 5526

GCD(18, 614) = ( 18 x 614 ) / 5526

= 18 / 614

= 18

Step3:

LCM(2, 650) = 650

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

= 2 / 650

= 2

So, Greatest Common Divisor of 162, 144, 614, 650 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 256, 507, 425
• GCD of 567, 895, 304, 221
• GCD of 129, 769, 546, 890
• GCD of 680, 880, 856, 274
• GCD of 653, 892, 310, 251

Given numbers are 162, 144, 614, 650
The greatest common divisor of numbers 162, 144, 614, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 144, 614, 650 is 2.

1. What is the GCD of 162, 144, 614, 650?

GCD of given numbers 162, 144, 614, 650 is 2

2. How to calculate the greatest common divisor of 162, 144, 614, 650?

We can find the highest common divisor of 162, 144, 614, 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 162, 144, 614, 650 i.e 2.

3. How can I use the GCD of 162, 144, 614, 650Calculator?

Out the numbers 162, 144, 614, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.