GCD of 840, 504, 154 Calculator

Given Input numbers are 840, 504, 154

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 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 840, 504, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 504, 154 is 14.

Therefore, GCD of numbers 840, 504, 154 is 14

Given Input Data is 840, 504, 154

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 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 154 is 2 x 7 x 11

Highest common occurrences in the given inputs are 2¹ x 7¹

Multiplying them we get the GCD as 14

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, 504) = 2520

GCD(840, 504) = ( 840 x 504 ) / 2520

GCD(840, 504) = 423360 / 2520

GCD(840, 504) = 168

Step2:

Here we consider the GCD from the above i.e. 168 as first number and the next as 154

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

LCM(168, 154) = 1848

GCD(168, 154) = ( 168 x 154 ) / 1848

GCD(168, 154) = 25872 / 1848

GCD(168, 154) = 14

GCD of 840, 504, 154 is 14

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• GCD of 284, 551, 424
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• GCD of 185, 808, 131
• GCD of 305, 725, 155

1. What is the GCD of 840, 504, 154?

GCD of 840, 504, 154 is 14

2. Where do I get the detailed procedure to find GCD of 840, 504, 154?

You can find a detailed procedure to find GCD of 840, 504, 154 on our page.

3. How to find GCD of 840, 504, 154 on a calculator?

You can find the GCD of 840, 504, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.