GCD of 144, 436, 746, 162 Calculator

Given Input numbers are 144, 436, 746, 162

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

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

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

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

Greatest Common Divisior

We found the divisors of 144, 436, 746, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 436, 746, 162 is 2.

Therefore, GCD of numbers 144, 436, 746, 162 is 2

Given Input Data is 144, 436, 746, 162

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 746 is 2 x 373

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(144, 436) = 15696

GCD(144, 436) = ( 144 x 436 ) / 15696

GCD(144, 436) = 62784 / 15696

GCD(144, 436) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 746

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

LCM(4, 746) = 1492

GCD(4, 746) = ( 4 x 746 ) / 1492

GCD(4, 746) = 2984 / 1492

GCD(4, 746) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 162

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

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

GCD(2, 162) = 324 / 162

GCD(2, 162) = 2

GCD of 144, 436, 746, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 489, 767, 522, 665
• GCD of 441, 915, 589, 518
• GCD of 711, 940, 279, 968
• GCD of 351, 879, 850, 811
• GCD of 868, 329, 926, 541

1. What is the GCD of 144, 436, 746, 162?

GCD of 144, 436, 746, 162 is 2

2. Where do I get the detailed procedure to find GCD of 144, 436, 746, 162?

You can find a detailed procedure to find GCD of 144, 436, 746, 162 on our page.

3. How to find GCD of 144, 436, 746, 162 on a calculator?

You can find the GCD of 144, 436, 746, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.