GCD of 632, 144, 72, 354 Calculator

Given Input numbers are 632, 144, 72, 354

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

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 632, 144, 72, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 144, 72, 354 is 2.

Therefore, GCD of numbers 632, 144, 72, 354 is 2

Given Input Data is 632, 144, 72, 354

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

Prime Factorization of 632 is 2 x 2 x 2 x 79

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 354 is 2 x 3 x 59

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(632, 144) = 11376

GCD(632, 144) = ( 632 x 144 ) / 11376

GCD(632, 144) = 91008 / 11376

GCD(632, 144) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 72

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

LCM(8, 72) = 72

GCD(8, 72) = ( 8 x 72 ) / 72

GCD(8, 72) = 576 / 72

GCD(8, 72) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 354

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

LCM(8, 354) = 1416

GCD(8, 354) = ( 8 x 354 ) / 1416

GCD(8, 354) = 2832 / 1416

GCD(8, 354) = 2

GCD of 632, 144, 72, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 141, 20, 687
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• GCD of 412, 629, 47, 578
• GCD of 792, 131, 93, 729

1. What is the GCD of 632, 144, 72, 354?

GCD of 632, 144, 72, 354 is 2

2. Where do I get the detailed procedure to find GCD of 632, 144, 72, 354?

You can find a detailed procedure to find GCD of 632, 144, 72, 354 on our page.

3. How to find GCD of 632, 144, 72, 354 on a calculator?

You can find the GCD of 632, 144, 72, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.