GCD of 778, 380, 22, 752 Calculator

Given Input numbers are 778, 380, 22, 752

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

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

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 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 778, 380, 22, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 380, 22, 752 is 2.

Therefore, GCD of numbers 778, 380, 22, 752 is 2

Given Input Data is 778, 380, 22, 752

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

Prime Factorization of 778 is 2 x 389

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(778, 380) = 147820

GCD(778, 380) = ( 778 x 380 ) / 147820

GCD(778, 380) = 295640 / 147820

GCD(778, 380) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 752

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

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

GCD(2, 752) = 1504 / 752

GCD(2, 752) = 2

GCD of 778, 380, 22, 752 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 576, 86, 103
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• GCD of 606, 220, 33, 189
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• GCD of 110, 952, 48, 867

1. What is the GCD of 778, 380, 22, 752?

GCD of 778, 380, 22, 752 is 2

2. Where do I get the detailed procedure to find GCD of 778, 380, 22, 752?

You can find a detailed procedure to find GCD of 778, 380, 22, 752 on our page.

3. How to find GCD of 778, 380, 22, 752 on a calculator?

You can find the GCD of 778, 380, 22, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.