GCD of 856, 380, 858, 552 Calculator

Given Input numbers are 856, 380, 858, 552

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 856, 380, 858, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 380, 858, 552 is 2.

Therefore, GCD of numbers 856, 380, 858, 552 is 2

Given Input Data is 856, 380, 858, 552

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

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(856, 380) = 81320

GCD(856, 380) = ( 856 x 380 ) / 81320

GCD(856, 380) = 325280 / 81320

GCD(856, 380) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 858

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

LCM(4, 858) = 1716

GCD(4, 858) = ( 4 x 858 ) / 1716

GCD(4, 858) = 3432 / 1716

GCD(4, 858) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 552

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

LCM(2, 552) = 552

GCD(2, 552) = ( 2 x 552 ) / 552

GCD(2, 552) = 1104 / 552

GCD(2, 552) = 2

GCD of 856, 380, 858, 552 is 2

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1. What is the GCD of 856, 380, 858, 552?

GCD of 856, 380, 858, 552 is 2

2. Where do I get the detailed procedure to find GCD of 856, 380, 858, 552?

You can find a detailed procedure to find GCD of 856, 380, 858, 552 on our page.

3. How to find GCD of 856, 380, 858, 552 on a calculator?

You can find the GCD of 856, 380, 858, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.