GCD of 840, 438, 59, 352 Calculator

Given Input numbers are 840, 438, 59, 352

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 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 840, 438, 59, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 438, 59, 352 is 1.

Therefore, GCD of numbers 840, 438, 59, 352 is 1

Given Input Data is 840, 438, 59, 352

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 438 is 2 x 3 x 73

Prime Factorization of 59 is 59

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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(840, 438) = 61320

GCD(840, 438) = ( 840 x 438 ) / 61320

GCD(840, 438) = 367920 / 61320

GCD(840, 438) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 59

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

LCM(6, 59) = 354

GCD(6, 59) = ( 6 x 59 ) / 354

GCD(6, 59) = 354 / 354

GCD(6, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 840, 438, 59, 352 is 1

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1. What is the GCD of 840, 438, 59, 352?

GCD of 840, 438, 59, 352 is 1

2. Where do I get the detailed procedure to find GCD of 840, 438, 59, 352?

You can find a detailed procedure to find GCD of 840, 438, 59, 352 on our page.

3. How to find GCD of 840, 438, 59, 352 on a calculator?

You can find the GCD of 840, 438, 59, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.