GCD of 938, 137, 178, 800 Calculator

Given Input numbers are 938, 137, 178, 800

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 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 938, 137, 178, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 137, 178, 800 is 1.

Therefore, GCD of numbers 938, 137, 178, 800 is 1

Given Input Data is 938, 137, 178, 800

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 137 is 137

Prime Factorization of 178 is 2 x 89

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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, 137) = 128506

GCD(938, 137) = ( 938 x 137 ) / 128506

GCD(938, 137) = 128506 / 128506

GCD(938, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 938, 137, 178, 800 is 1

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1. What is the GCD of 938, 137, 178, 800?

GCD of 938, 137, 178, 800 is 1

2. Where do I get the detailed procedure to find GCD of 938, 137, 178, 800?

You can find a detailed procedure to find GCD of 938, 137, 178, 800 on our page.

3. How to find GCD of 938, 137, 178, 800 on a calculator?

You can find the GCD of 938, 137, 178, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.