GCD of 678, 614, 70, 210 Calculator

Given Input numbers are 678, 614, 70, 210

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 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

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 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 678, 614, 70, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 614, 70, 210 is 2.

Therefore, GCD of numbers 678, 614, 70, 210 is 2

Given Input Data is 678, 614, 70, 210

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 614 is 2 x 307

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 210 is 2 x 3 x 5 x 7

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(678, 614) = 208146

GCD(678, 614) = ( 678 x 614 ) / 208146

GCD(678, 614) = 416292 / 208146

GCD(678, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 210

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

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

GCD(2, 210) = 420 / 210

GCD(2, 210) = 2

GCD of 678, 614, 70, 210 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 339, 64, 366
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1. What is the GCD of 678, 614, 70, 210?

GCD of 678, 614, 70, 210 is 2

2. Where do I get the detailed procedure to find GCD of 678, 614, 70, 210?

You can find a detailed procedure to find GCD of 678, 614, 70, 210 on our page.

3. How to find GCD of 678, 614, 70, 210 on a calculator?

You can find the GCD of 678, 614, 70, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.