GCD of 742, 278, 849, 360 Calculator

Given Input numbers are 742, 278, 849, 360

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 742, 278, 849, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 278, 849, 360 is 1.

Therefore, GCD of numbers 742, 278, 849, 360 is 1

Given Input Data is 742, 278, 849, 360

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 278 is 2 x 139

Prime Factorization of 849 is 3 x 283

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

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(742, 278) = 103138

GCD(742, 278) = ( 742 x 278 ) / 103138

GCD(742, 278) = 206276 / 103138

GCD(742, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 849

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

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

GCD(2, 849) = 1698 / 1698

GCD(2, 849) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 742, 278, 849, 360 is 1

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• GCD of 425, 825, 404, 636
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1. What is the GCD of 742, 278, 849, 360?

GCD of 742, 278, 849, 360 is 1

2. Where do I get the detailed procedure to find GCD of 742, 278, 849, 360?

You can find a detailed procedure to find GCD of 742, 278, 849, 360 on our page.

3. How to find GCD of 742, 278, 849, 360 on a calculator?

You can find the GCD of 742, 278, 849, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.