GCD of 840, 740, 588 Calculator

Given Input numbers are 840, 740, 588

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 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 840, 740, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 740, 588 is 4.

Therefore, GCD of numbers 840, 740, 588 is 4

Given Input Data is 840, 740, 588

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 740 is 2 x 2 x 5 x 37

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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, 740) = 31080

GCD(840, 740) = ( 840 x 740 ) / 31080

GCD(840, 740) = 621600 / 31080

GCD(840, 740) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 588

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

LCM(20, 588) = 2940

GCD(20, 588) = ( 20 x 588 ) / 2940

GCD(20, 588) = 11760 / 2940

GCD(20, 588) = 4

GCD of 840, 740, 588 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 524, 869, 102
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• GCD of 741, 802, 208
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1. What is the GCD of 840, 740, 588?

GCD of 840, 740, 588 is 4

2. Where do I get the detailed procedure to find GCD of 840, 740, 588?

You can find a detailed procedure to find GCD of 840, 740, 588 on our page.

3. How to find GCD of 840, 740, 588 on a calculator?

You can find the GCD of 840, 740, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.