GCD of 77, 245, 255, 678 Calculator

Given Input numbers are 77, 245, 255, 678

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 77, 245, 255, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 245, 255, 678 is 1.

Therefore, GCD of numbers 77, 245, 255, 678 is 1

Given Input Data is 77, 245, 255, 678

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 678 is 2 x 3 x 113

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(77, 245) = 2695

GCD(77, 245) = ( 77 x 245 ) / 2695

GCD(77, 245) = 18865 / 2695

GCD(77, 245) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 255

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

LCM(7, 255) = 1785

GCD(7, 255) = ( 7 x 255 ) / 1785

GCD(7, 255) = 1785 / 1785

GCD(7, 255) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 77, 245, 255, 678 is 1

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• GCD of 50, 520, 907, 201
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1. What is the GCD of 77, 245, 255, 678?

GCD of 77, 245, 255, 678 is 1

2. Where do I get the detailed procedure to find GCD of 77, 245, 255, 678?

You can find a detailed procedure to find GCD of 77, 245, 255, 678 on our page.

3. How to find GCD of 77, 245, 255, 678 on a calculator?

You can find the GCD of 77, 245, 255, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.