GCD of 778, 956, 938 Calculator

Given Input numbers are 778, 956, 938

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 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 778, 956, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 956, 938 is 2.

Therefore, GCD of numbers 778, 956, 938 is 2

Given Input Data is 778, 956, 938

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 938 is 2 x 7 x 67

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, 956) = 371884

GCD(778, 956) = ( 778 x 956 ) / 371884

GCD(778, 956) = 743768 / 371884

GCD(778, 956) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 938

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

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

GCD(2, 938) = 1876 / 938

GCD(2, 938) = 2

GCD of 778, 956, 938 is 2

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1. What is the GCD of 778, 956, 938?

GCD of 778, 956, 938 is 2

2. Where do I get the detailed procedure to find GCD of 778, 956, 938?

You can find a detailed procedure to find GCD of 778, 956, 938 on our page.

3. How to find GCD of 778, 956, 938 on a calculator?

You can find the GCD of 778, 956, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.