GCD of 694, 870, 14, 611 Calculator

Given Input numbers are 694, 870, 14, 611

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

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Greatest Common Divisior

We found the divisors of 694, 870, 14, 611 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 870, 14, 611 is 1.

Therefore, GCD of numbers 694, 870, 14, 611 is 1

Given Input Data is 694, 870, 14, 611

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 14 is 2 x 7

Prime Factorization of 611 is 13 x 47

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(694, 870) = 301890

GCD(694, 870) = ( 694 x 870 ) / 301890

GCD(694, 870) = 603780 / 301890

GCD(694, 870) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 611

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

LCM(2, 611) = 1222

GCD(2, 611) = ( 2 x 611 ) / 1222

GCD(2, 611) = 1222 / 1222

GCD(2, 611) = 1

GCD of 694, 870, 14, 611 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 415, 75, 914
• GCD of 455, 792, 46, 291
• GCD of 754, 895, 63, 765
• GCD of 610, 161, 84, 609
• GCD of 685, 190, 47, 903

1. What is the GCD of 694, 870, 14, 611?

GCD of 694, 870, 14, 611 is 1

2. Where do I get the detailed procedure to find GCD of 694, 870, 14, 611?

You can find a detailed procedure to find GCD of 694, 870, 14, 611 on our page.

3. How to find GCD of 694, 870, 14, 611 on a calculator?

You can find the GCD of 694, 870, 14, 611 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.