GCD of 446, 770, 452, 876 Calculator

Given Input numbers are 446, 770, 452, 876

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 446, 770, 452, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 770, 452, 876 is 2.

Therefore, GCD of numbers 446, 770, 452, 876 is 2

Given Input Data is 446, 770, 452, 876

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 876 is 2 x 2 x 3 x 73

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(446, 770) = 171710

GCD(446, 770) = ( 446 x 770 ) / 171710

GCD(446, 770) = 343420 / 171710

GCD(446, 770) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 452

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

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

GCD(2, 452) = 904 / 452

GCD(2, 452) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 876

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

LCM(2, 876) = 876

GCD(2, 876) = ( 2 x 876 ) / 876

GCD(2, 876) = 1752 / 876

GCD(2, 876) = 2

GCD of 446, 770, 452, 876 is 2

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1. What is the GCD of 446, 770, 452, 876?

GCD of 446, 770, 452, 876 is 2

2. Where do I get the detailed procedure to find GCD of 446, 770, 452, 876?

You can find a detailed procedure to find GCD of 446, 770, 452, 876 on our page.

3. How to find GCD of 446, 770, 452, 876 on a calculator?

You can find the GCD of 446, 770, 452, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.