GCD of 840, 669, 352, 538 Calculator

Given Input numbers are 840, 669, 352, 538

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 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 840, 669, 352, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 669, 352, 538 is 1.

Therefore, GCD of numbers 840, 669, 352, 538 is 1

Given Input Data is 840, 669, 352, 538

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 669 is 3 x 223

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

Prime Factorization of 538 is 2 x 269

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, 669) = 187320

GCD(840, 669) = ( 840 x 669 ) / 187320

GCD(840, 669) = 561960 / 187320

GCD(840, 669) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 352

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

LCM(3, 352) = 1056

GCD(3, 352) = ( 3 x 352 ) / 1056

GCD(3, 352) = 1056 / 1056

GCD(3, 352) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 840, 669, 352, 538 is 1

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1. What is the GCD of 840, 669, 352, 538?

GCD of 840, 669, 352, 538 is 1

2. Where do I get the detailed procedure to find GCD of 840, 669, 352, 538?

You can find a detailed procedure to find GCD of 840, 669, 352, 538 on our page.

3. How to find GCD of 840, 669, 352, 538 on a calculator?

You can find the GCD of 840, 669, 352, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.