GCD of 938, 732, 854, 356 Calculator

Given Input numbers are 938, 732, 854, 356

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 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 938, 732, 854, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 732, 854, 356 is 2.

Therefore, GCD of numbers 938, 732, 854, 356 is 2

Given Input Data is 938, 732, 854, 356

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 732 is 2 x 2 x 3 x 61

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 356 is 2 x 2 x 89

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, 732) = 343308

GCD(938, 732) = ( 938 x 732 ) / 343308

GCD(938, 732) = 686616 / 343308

GCD(938, 732) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 854

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

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

GCD(2, 854) = 1708 / 854

GCD(2, 854) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 356

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

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

GCD(2, 356) = 712 / 356

GCD(2, 356) = 2

GCD of 938, 732, 854, 356 is 2

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1. What is the GCD of 938, 732, 854, 356?

GCD of 938, 732, 854, 356 is 2

2. Where do I get the detailed procedure to find GCD of 938, 732, 854, 356?

You can find a detailed procedure to find GCD of 938, 732, 854, 356 on our page.

3. How to find GCD of 938, 732, 854, 356 on a calculator?

You can find the GCD of 938, 732, 854, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.