GCD of 74, 680, 620, 588 Calculator

Given Input numbers are 74, 680, 620, 588

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

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 74, 680, 620, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 680, 620, 588 is 2.

Therefore, GCD of numbers 74, 680, 620, 588 is 2

Given Input Data is 74, 680, 620, 588

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 620 is 2 x 2 x 5 x 31

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(74, 680) = 25160

GCD(74, 680) = ( 74 x 680 ) / 25160

GCD(74, 680) = 50320 / 25160

GCD(74, 680) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 620

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

LCM(2, 620) = 620

GCD(2, 620) = ( 2 x 620 ) / 620

GCD(2, 620) = 1240 / 620

GCD(2, 620) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 588

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

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

GCD(2, 588) = 1176 / 588

GCD(2, 588) = 2

GCD of 74, 680, 620, 588 is 2

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• GCD of 54, 733, 315, 937
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• GCD of 76, 819, 420, 880

1. What is the GCD of 74, 680, 620, 588?

GCD of 74, 680, 620, 588 is 2

2. Where do I get the detailed procedure to find GCD of 74, 680, 620, 588?

You can find a detailed procedure to find GCD of 74, 680, 620, 588 on our page.

3. How to find GCD of 74, 680, 620, 588 on a calculator?

You can find the GCD of 74, 680, 620, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.