GCD of 612, 144, 357, 741 Calculator

Given Input numbers are 612, 144, 357, 741

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 612, 144, 357, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 144, 357, 741 is 3.

Therefore, GCD of numbers 612, 144, 357, 741 is 3

Given Input Data is 612, 144, 357, 741

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 741 is 3 x 13 x 19

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(612, 144) = 2448

GCD(612, 144) = ( 612 x 144 ) / 2448

GCD(612, 144) = 88128 / 2448

GCD(612, 144) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 357

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

LCM(36, 357) = 4284

GCD(36, 357) = ( 36 x 357 ) / 4284

GCD(36, 357) = 12852 / 4284

GCD(36, 357) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 741

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

LCM(3, 741) = 741

GCD(3, 741) = ( 3 x 741 ) / 741

GCD(3, 741) = 2223 / 741

GCD(3, 741) = 3

GCD of 612, 144, 357, 741 is 3

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1. What is the GCD of 612, 144, 357, 741?

GCD of 612, 144, 357, 741 is 3

2. Where do I get the detailed procedure to find GCD of 612, 144, 357, 741?

You can find a detailed procedure to find GCD of 612, 144, 357, 741 on our page.

3. How to find GCD of 612, 144, 357, 741 on a calculator?

You can find the GCD of 612, 144, 357, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.