GCD of 678, 561, 70, 550 Calculator

Given Input numbers are 678, 561, 70, 550

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

Divisors of 678

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

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 678, 561, 70, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 561, 70, 550 is 1.

Therefore, GCD of numbers 678, 561, 70, 550 is 1

Given Input Data is 678, 561, 70, 550

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 550 is 2 x 5 x 5 x 11

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(678, 561) = 126786

GCD(678, 561) = ( 678 x 561 ) / 126786

GCD(678, 561) = 380358 / 126786

GCD(678, 561) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 70

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

LCM(3, 70) = 210

GCD(3, 70) = ( 3 x 70 ) / 210

GCD(3, 70) = 210 / 210

GCD(3, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 550

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

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

GCD(1, 550) = 550 / 550

GCD(1, 550) = 1

GCD of 678, 561, 70, 550 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 600, 300, 76, 520
• GCD of 139, 276, 41, 355
• GCD of 113, 587, 47, 566
• GCD of 836, 926, 81, 267
• GCD of 155, 599, 56, 957

1. What is the GCD of 678, 561, 70, 550?

GCD of 678, 561, 70, 550 is 1

2. Where do I get the detailed procedure to find GCD of 678, 561, 70, 550?

You can find a detailed procedure to find GCD of 678, 561, 70, 550 on our page.

3. How to find GCD of 678, 561, 70, 550 on a calculator?

You can find the GCD of 678, 561, 70, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.