GCD of 987, 417, 840 Calculator

Given Input numbers are 987, 417, 840

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

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 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

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 987, 417, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 417, 840 is 3.

Therefore, GCD of numbers 987, 417, 840 is 3

Given Input Data is 987, 417, 840

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 417 is 3 x 139

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(987, 417) = 137193

GCD(987, 417) = ( 987 x 417 ) / 137193

GCD(987, 417) = 411579 / 137193

GCD(987, 417) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 840

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

LCM(3, 840) = 840

GCD(3, 840) = ( 3 x 840 ) / 840

GCD(3, 840) = 2520 / 840

GCD(3, 840) = 3

GCD of 987, 417, 840 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 926, 762, 173
• GCD of 536, 427, 519
• GCD of 810, 395, 540
• GCD of 465, 747, 544
• GCD of 276, 794, 514

1. What is the GCD of 987, 417, 840?

GCD of 987, 417, 840 is 3

2. Where do I get the detailed procedure to find GCD of 987, 417, 840?

You can find a detailed procedure to find GCD of 987, 417, 840 on our page.

3. How to find GCD of 987, 417, 840 on a calculator?

You can find the GCD of 987, 417, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.