GCD of 584, 814, 68, 602 Calculator

Given Input numbers are 584, 814, 68, 602

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Greatest Common Divisior

We found the divisors of 584, 814, 68, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 814, 68, 602 is 2.

Therefore, GCD of numbers 584, 814, 68, 602 is 2

Given Input Data is 584, 814, 68, 602

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 602 is 2 x 7 x 43

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(584, 814) = 237688

GCD(584, 814) = ( 584 x 814 ) / 237688

GCD(584, 814) = 475376 / 237688

GCD(584, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 602

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

LCM(2, 602) = 602

GCD(2, 602) = ( 2 x 602 ) / 602

GCD(2, 602) = 1204 / 602

GCD(2, 602) = 2

GCD of 584, 814, 68, 602 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 446, 36, 185
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• GCD of 381, 656, 96, 192
• GCD of 958, 856, 40, 760

1. What is the GCD of 584, 814, 68, 602?

GCD of 584, 814, 68, 602 is 2

2. Where do I get the detailed procedure to find GCD of 584, 814, 68, 602?

You can find a detailed procedure to find GCD of 584, 814, 68, 602 on our page.

3. How to find GCD of 584, 814, 68, 602 on a calculator?

You can find the GCD of 584, 814, 68, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.