GCD of 700, 570, 108, 678 Calculator

Given Input numbers are 700, 570, 108, 678

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 700, 570, 108, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 570, 108, 678 is 2.

Therefore, GCD of numbers 700, 570, 108, 678 is 2

Given Input Data is 700, 570, 108, 678

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 678 is 2 x 3 x 113

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(700, 570) = 39900

GCD(700, 570) = ( 700 x 570 ) / 39900

GCD(700, 570) = 399000 / 39900

GCD(700, 570) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 108

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

LCM(10, 108) = 540

GCD(10, 108) = ( 10 x 108 ) / 540

GCD(10, 108) = 1080 / 540

GCD(10, 108) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 678

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

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

GCD(2, 678) = 1356 / 678

GCD(2, 678) = 2

GCD of 700, 570, 108, 678 is 2

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1. What is the GCD of 700, 570, 108, 678?

GCD of 700, 570, 108, 678 is 2

2. Where do I get the detailed procedure to find GCD of 700, 570, 108, 678?

You can find a detailed procedure to find GCD of 700, 570, 108, 678 on our page.

3. How to find GCD of 700, 570, 108, 678 on a calculator?

You can find the GCD of 700, 570, 108, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.