GCD of 565, 398, 938, 149 Calculator

Given Input numbers are 565, 398, 938, 149

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

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

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 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 565, 398, 938, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 398, 938, 149 is 1.

Therefore, GCD of numbers 565, 398, 938, 149 is 1

Given Input Data is 565, 398, 938, 149

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 398 is 2 x 199

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 149 is 149

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(565, 398) = 224870

GCD(565, 398) = ( 565 x 398 ) / 224870

GCD(565, 398) = 224870 / 224870

GCD(565, 398) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 565, 398, 938, 149 is 1

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1. What is the GCD of 565, 398, 938, 149?

GCD of 565, 398, 938, 149 is 1

2. Where do I get the detailed procedure to find GCD of 565, 398, 938, 149?

You can find a detailed procedure to find GCD of 565, 398, 938, 149 on our page.

3. How to find GCD of 565, 398, 938, 149 on a calculator?

You can find the GCD of 565, 398, 938, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.