GCD of 840, 200, 676 Calculator

Given Input numbers are 840, 200, 676

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

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 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 840, 200, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 200, 676 is 4.

Therefore, GCD of numbers 840, 200, 676 is 4

Given Input Data is 840, 200, 676

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

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 676 is 2 x 2 x 13 x 13

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(840, 200) = 4200

GCD(840, 200) = ( 840 x 200 ) / 4200

GCD(840, 200) = 168000 / 4200

GCD(840, 200) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 676

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

LCM(40, 676) = 6760

GCD(40, 676) = ( 40 x 676 ) / 6760

GCD(40, 676) = 27040 / 6760

GCD(40, 676) = 4

GCD of 840, 200, 676 is 4

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• GCD of 659, 396, 586
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1. What is the GCD of 840, 200, 676?

GCD of 840, 200, 676 is 4

2. Where do I get the detailed procedure to find GCD of 840, 200, 676?

You can find a detailed procedure to find GCD of 840, 200, 676 on our page.

3. How to find GCD of 840, 200, 676 on a calculator?

You can find the GCD of 840, 200, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.