GCD of 552, 886, 374, 708 Calculator

Given Input numbers are 552, 886, 374, 708

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

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

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 552, 886, 374, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 886, 374, 708 is 2.

Therefore, GCD of numbers 552, 886, 374, 708 is 2

Given Input Data is 552, 886, 374, 708

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

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

Prime Factorization of 886 is 2 x 443

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(552, 886) = 244536

GCD(552, 886) = ( 552 x 886 ) / 244536

GCD(552, 886) = 489072 / 244536

GCD(552, 886) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 374

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

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

GCD(2, 374) = 748 / 374

GCD(2, 374) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 708

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

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

GCD(2, 708) = 1416 / 708

GCD(2, 708) = 2

GCD of 552, 886, 374, 708 is 2

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1. What is the GCD of 552, 886, 374, 708?

GCD of 552, 886, 374, 708 is 2

2. Where do I get the detailed procedure to find GCD of 552, 886, 374, 708?

You can find a detailed procedure to find GCD of 552, 886, 374, 708 on our page.

3. How to find GCD of 552, 886, 374, 708 on a calculator?

You can find the GCD of 552, 886, 374, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.