GCD of 278, 567, 150, 715 Calculator

Given Input numbers are 278, 567, 150, 715

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

Divisors of 278

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

1, 2, 139, 278

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 278, 567, 150, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 567, 150, 715 is 1.

Therefore, GCD of numbers 278, 567, 150, 715 is 1

Given Input Data is 278, 567, 150, 715

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 715 is 5 x 11 x 13

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(278, 567) = 157626

GCD(278, 567) = ( 278 x 567 ) / 157626

GCD(278, 567) = 157626 / 157626

GCD(278, 567) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 278, 567, 150, 715 is 1

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1. What is the GCD of 278, 567, 150, 715?

GCD of 278, 567, 150, 715 is 1

2. Where do I get the detailed procedure to find GCD of 278, 567, 150, 715?

You can find a detailed procedure to find GCD of 278, 567, 150, 715 on our page.

3. How to find GCD of 278, 567, 150, 715 on a calculator?

You can find the GCD of 278, 567, 150, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.