GCD of 938, 550, 592, 378 Calculator

Given Input numbers are 938, 550, 592, 378

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

Divisors of 938

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

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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 938, 550, 592, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 550, 592, 378 is 2.

Therefore, GCD of numbers 938, 550, 592, 378 is 2

Given Input Data is 938, 550, 592, 378

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

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(938, 550) = 257950

GCD(938, 550) = ( 938 x 550 ) / 257950

GCD(938, 550) = 515900 / 257950

GCD(938, 550) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 592

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

LCM(2, 592) = 592

GCD(2, 592) = ( 2 x 592 ) / 592

GCD(2, 592) = 1184 / 592

GCD(2, 592) = 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 938, 550, 592, 378 is 2

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1. What is the GCD of 938, 550, 592, 378?

GCD of 938, 550, 592, 378 is 2

2. Where do I get the detailed procedure to find GCD of 938, 550, 592, 378?

You can find a detailed procedure to find GCD of 938, 550, 592, 378 on our page.

3. How to find GCD of 938, 550, 592, 378 on a calculator?

You can find the GCD of 938, 550, 592, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.