GCD of 85, 870, 694, 364 Calculator

Given Input numbers are 85, 870, 694, 364

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

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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 694

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

1, 2, 347, 694

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 85, 870, 694, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 870, 694, 364 is 1.

Therefore, GCD of numbers 85, 870, 694, 364 is 1

Given Input Data is 85, 870, 694, 364

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

Prime Factorization of 85 is 5 x 17

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(85, 870) = 14790

GCD(85, 870) = ( 85 x 870 ) / 14790

GCD(85, 870) = 73950 / 14790

GCD(85, 870) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 694

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

LCM(5, 694) = 3470

GCD(5, 694) = ( 5 x 694 ) / 3470

GCD(5, 694) = 3470 / 3470

GCD(5, 694) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 85, 870, 694, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 318, 334, 386
• GCD of 74, 822, 268, 376
• GCD of 55, 877, 588, 667
• GCD of 33, 788, 870, 564
• GCD of 53, 177, 594, 896

1. What is the GCD of 85, 870, 694, 364?

GCD of 85, 870, 694, 364 is 1

2. Where do I get the detailed procedure to find GCD of 85, 870, 694, 364?

You can find a detailed procedure to find GCD of 85, 870, 694, 364 on our page.

3. How to find GCD of 85, 870, 694, 364 on a calculator?

You can find the GCD of 85, 870, 694, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.