GCD of 378, 889, 919, 556 Calculator

Given Input numbers are 378, 889, 919, 556

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 378, 889, 919, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 889, 919, 556 is 1.

Therefore, GCD of numbers 378, 889, 919, 556 is 1

Given Input Data is 378, 889, 919, 556

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 889 is 7 x 127

Prime Factorization of 919 is 919

Prime Factorization of 556 is 2 x 2 x 139

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(378, 889) = 48006

GCD(378, 889) = ( 378 x 889 ) / 48006

GCD(378, 889) = 336042 / 48006

GCD(378, 889) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 919

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

LCM(7, 919) = 6433

GCD(7, 919) = ( 7 x 919 ) / 6433

GCD(7, 919) = 6433 / 6433

GCD(7, 919) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 378, 889, 919, 556 is 1

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• GCD of 316, 770, 769, 577
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1. What is the GCD of 378, 889, 919, 556?

GCD of 378, 889, 919, 556 is 1

2. Where do I get the detailed procedure to find GCD of 378, 889, 919, 556?

You can find a detailed procedure to find GCD of 378, 889, 919, 556 on our page.

3. How to find GCD of 378, 889, 919, 556 on a calculator?

You can find the GCD of 378, 889, 919, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.