GCD of 938, 148, 45, 940 Calculator

Given Input numbers are 938, 148, 45, 940

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 938, 148, 45, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 148, 45, 940 is 1.

Therefore, GCD of numbers 938, 148, 45, 940 is 1

Given Input Data is 938, 148, 45, 940

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 148 is 2 x 2 x 37

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 940 is 2 x 2 x 5 x 47

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, 148) = 69412

GCD(938, 148) = ( 938 x 148 ) / 69412

GCD(938, 148) = 138824 / 69412

GCD(938, 148) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

GCD of 938, 148, 45, 940 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 825, 28, 556
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• GCD of 182, 871, 37, 513

1. What is the GCD of 938, 148, 45, 940?

GCD of 938, 148, 45, 940 is 1

2. Where do I get the detailed procedure to find GCD of 938, 148, 45, 940?

You can find a detailed procedure to find GCD of 938, 148, 45, 940 on our page.

3. How to find GCD of 938, 148, 45, 940 on a calculator?

You can find the GCD of 938, 148, 45, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.