GCD of 114, 608, 371, 532 Calculator

Given Input numbers are 114, 608, 371, 532

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 114, 608, 371, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 608, 371, 532 is 1.

Therefore, GCD of numbers 114, 608, 371, 532 is 1

Given Input Data is 114, 608, 371, 532

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 371 is 7 x 53

Prime Factorization of 532 is 2 x 2 x 7 x 19

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(114, 608) = 1824

GCD(114, 608) = ( 114 x 608 ) / 1824

GCD(114, 608) = 69312 / 1824

GCD(114, 608) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 371

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

LCM(38, 371) = 14098

GCD(38, 371) = ( 38 x 371 ) / 14098

GCD(38, 371) = 14098 / 14098

GCD(38, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

GCD of 114, 608, 371, 532 is 1

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• GCD of 354, 884, 592, 351
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• GCD of 446, 860, 878, 157

1. What is the GCD of 114, 608, 371, 532?

GCD of 114, 608, 371, 532 is 1

2. Where do I get the detailed procedure to find GCD of 114, 608, 371, 532?

You can find a detailed procedure to find GCD of 114, 608, 371, 532 on our page.

3. How to find GCD of 114, 608, 371, 532 on a calculator?

You can find the GCD of 114, 608, 371, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.