GCD of 113, 987, 840 Calculator

Given Input numbers are 113, 987, 840

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

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

Greatest Common Divisior

We found the divisors of 113, 987, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 987, 840 is 1.

Therefore, GCD of numbers 113, 987, 840 is 1

Given Input Data is 113, 987, 840

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

Prime Factorization of 113 is 113

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(113, 987) = 111531

GCD(113, 987) = ( 113 x 987 ) / 111531

GCD(113, 987) = 111531 / 111531

GCD(113, 987) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 113, 987, 840 is 1

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1. What is the GCD of 113, 987, 840?

GCD of 113, 987, 840 is 1

2. Where do I get the detailed procedure to find GCD of 113, 987, 840?

You can find a detailed procedure to find GCD of 113, 987, 840 on our page.

3. How to find GCD of 113, 987, 840 on a calculator?

You can find the GCD of 113, 987, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.