GCD of 915, 870, 35, 821 Calculator

Given Input numbers are 915, 870, 35, 821

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

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

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 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 915, 870, 35, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 870, 35, 821 is 1.

Therefore, GCD of numbers 915, 870, 35, 821 is 1

Given Input Data is 915, 870, 35, 821

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

Prime Factorization of 915 is 3 x 5 x 61

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 821 is 821

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(915, 870) = 53070

GCD(915, 870) = ( 915 x 870 ) / 53070

GCD(915, 870) = 796050 / 53070

GCD(915, 870) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 35

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

LCM(15, 35) = 105

GCD(15, 35) = ( 15 x 35 ) / 105

GCD(15, 35) = 525 / 105

GCD(15, 35) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 821

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

LCM(5, 821) = 4105

GCD(5, 821) = ( 5 x 821 ) / 4105

GCD(5, 821) = 4105 / 4105

GCD(5, 821) = 1

GCD of 915, 870, 35, 821 is 1

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1. What is the GCD of 915, 870, 35, 821?

GCD of 915, 870, 35, 821 is 1

2. Where do I get the detailed procedure to find GCD of 915, 870, 35, 821?

You can find a detailed procedure to find GCD of 915, 870, 35, 821 on our page.

3. How to find GCD of 915, 870, 35, 821 on a calculator?

You can find the GCD of 915, 870, 35, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.