GCD of 915, 840, 50, 869 Calculator

Given Input numbers are 915, 840, 50, 869

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 915, 840, 50, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 840, 50, 869 is 1.

Therefore, GCD of numbers 915, 840, 50, 869 is 1

Given Input Data is 915, 840, 50, 869

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 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 869 is 11 x 79

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, 840) = 51240

GCD(915, 840) = ( 915 x 840 ) / 51240

GCD(915, 840) = 768600 / 51240

GCD(915, 840) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 50

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

LCM(15, 50) = 150

GCD(15, 50) = ( 15 x 50 ) / 150

GCD(15, 50) = 750 / 150

GCD(15, 50) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 869

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

LCM(5, 869) = 4345

GCD(5, 869) = ( 5 x 869 ) / 4345

GCD(5, 869) = 4345 / 4345

GCD(5, 869) = 1

GCD of 915, 840, 50, 869 is 1

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1. What is the GCD of 915, 840, 50, 869?

GCD of 915, 840, 50, 869 is 1

2. Where do I get the detailed procedure to find GCD of 915, 840, 50, 869?

You can find a detailed procedure to find GCD of 915, 840, 50, 869 on our page.

3. How to find GCD of 915, 840, 50, 869 on a calculator?

You can find the GCD of 915, 840, 50, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.