GCD of 770, 890, 622, 378 Calculator

Given Input numbers are 770, 890, 622, 378

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

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 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

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

Greatest Common Divisior

We found the divisors of 770, 890, 622, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 890, 622, 378 is 2.

Therefore, GCD of numbers 770, 890, 622, 378 is 2

Given Input Data is 770, 890, 622, 378

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

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 622 is 2 x 311

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

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(770, 890) = 68530

GCD(770, 890) = ( 770 x 890 ) / 68530

GCD(770, 890) = 685300 / 68530

GCD(770, 890) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 622

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

LCM(10, 622) = 3110

GCD(10, 622) = ( 10 x 622 ) / 3110

GCD(10, 622) = 6220 / 3110

GCD(10, 622) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 378

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

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

GCD(2, 378) = 756 / 378

GCD(2, 378) = 2

GCD of 770, 890, 622, 378 is 2

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1. What is the GCD of 770, 890, 622, 378?

GCD of 770, 890, 622, 378 is 2

2. Where do I get the detailed procedure to find GCD of 770, 890, 622, 378?

You can find a detailed procedure to find GCD of 770, 890, 622, 378 on our page.

3. How to find GCD of 770, 890, 622, 378 on a calculator?

You can find the GCD of 770, 890, 622, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.