GCD of 938, 376, 311, 869 Calculator

Given Input numbers are 938, 376, 311, 869

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 376

List of positive integer divisors of 376 that divides 376 without a remainder.

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

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 938, 376, 311, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 376, 311, 869 is 1.

Therefore, GCD of numbers 938, 376, 311, 869 is 1

Given Input Data is 938, 376, 311, 869

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 376 is 2 x 2 x 2 x 47

Prime Factorization of 311 is 311

Prime Factorization of 869 is 11 x 79

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(938, 376) = 176344

GCD(938, 376) = ( 938 x 376 ) / 176344

GCD(938, 376) = 352688 / 176344

GCD(938, 376) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 311

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

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

GCD(2, 311) = 622 / 622

GCD(2, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

GCD of 938, 376, 311, 869 is 1

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1. What is the GCD of 938, 376, 311, 869?

GCD of 938, 376, 311, 869 is 1

2. Where do I get the detailed procedure to find GCD of 938, 376, 311, 869?

You can find a detailed procedure to find GCD of 938, 376, 311, 869 on our page.

3. How to find GCD of 938, 376, 311, 869 on a calculator?

You can find the GCD of 938, 376, 311, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.