GCD of 872, 354, 562 Calculator

Given Input numbers are 872, 354, 562

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 872, 354, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 354, 562 is 2.

Therefore, GCD of numbers 872, 354, 562 is 2

Given Input Data is 872, 354, 562

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 562 is 2 x 281

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(872, 354) = 154344

GCD(872, 354) = ( 872 x 354 ) / 154344

GCD(872, 354) = 308688 / 154344

GCD(872, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 562

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

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

GCD(2, 562) = 1124 / 562

GCD(2, 562) = 2

GCD of 872, 354, 562 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 762, 533
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• GCD of 586, 910, 378
• GCD of 353, 817, 403
• GCD of 620, 364, 193

1. What is the GCD of 872, 354, 562?

GCD of 872, 354, 562 is 2

2. Where do I get the detailed procedure to find GCD of 872, 354, 562?

You can find a detailed procedure to find GCD of 872, 354, 562 on our page.

3. How to find GCD of 872, 354, 562 on a calculator?

You can find the GCD of 872, 354, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.