GCD of 840, 684, 57, 603 Calculator

Given Input numbers are 840, 684, 57, 603

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 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Greatest Common Divisior

We found the divisors of 840, 684, 57, 603 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 684, 57, 603 is 3.

Therefore, GCD of numbers 840, 684, 57, 603 is 3

Given Input Data is 840, 684, 57, 603

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 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 57 is 3 x 19

Prime Factorization of 603 is 3 x 3 x 67

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(840, 684) = 47880

GCD(840, 684) = ( 840 x 684 ) / 47880

GCD(840, 684) = 574560 / 47880

GCD(840, 684) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 57

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

LCM(12, 57) = 228

GCD(12, 57) = ( 12 x 57 ) / 228

GCD(12, 57) = 684 / 228

GCD(12, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 603

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

LCM(3, 603) = 603

GCD(3, 603) = ( 3 x 603 ) / 603

GCD(3, 603) = 1809 / 603

GCD(3, 603) = 3

GCD of 840, 684, 57, 603 is 3

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1. What is the GCD of 840, 684, 57, 603?

GCD of 840, 684, 57, 603 is 3

2. Where do I get the detailed procedure to find GCD of 840, 684, 57, 603?

You can find a detailed procedure to find GCD of 840, 684, 57, 603 on our page.

3. How to find GCD of 840, 684, 57, 603 on a calculator?

You can find the GCD of 840, 684, 57, 603 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.