GCD of 642, 343, 360, 584 Calculator

Given Input numbers are 642, 343, 360, 584

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 584

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

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

Greatest Common Divisior

We found the divisors of 642, 343, 360, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 343, 360, 584 is 1.

Therefore, GCD of numbers 642, 343, 360, 584 is 1

Given Input Data is 642, 343, 360, 584

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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

The above numbers do not have any common prime factor. So GCD is 1

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(642, 343) = 220206

GCD(642, 343) = ( 642 x 343 ) / 220206

GCD(642, 343) = 220206 / 220206

GCD(642, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 642, 343, 360, 584 is 1

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1. What is the GCD of 642, 343, 360, 584?

GCD of 642, 343, 360, 584 is 1

2. Where do I get the detailed procedure to find GCD of 642, 343, 360, 584?

You can find a detailed procedure to find GCD of 642, 343, 360, 584 on our page.

3. How to find GCD of 642, 343, 360, 584 on a calculator?

You can find the GCD of 642, 343, 360, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.