GCD of 114, 523, 53, 956 Calculator

Given Input numbers are 114, 523, 53, 956

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 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 114, 523, 53, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 523, 53, 956 is 1.

Therefore, GCD of numbers 114, 523, 53, 956 is 1

Given Input Data is 114, 523, 53, 956

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 523 is 523

Prime Factorization of 53 is 53

Prime Factorization of 956 is 2 x 2 x 239

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, 523) = 59622

GCD(114, 523) = ( 114 x 523 ) / 59622

GCD(114, 523) = 59622 / 59622

GCD(114, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 114, 523, 53, 956 is 1

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• GCD of 375, 356, 12, 497
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1. What is the GCD of 114, 523, 53, 956?

GCD of 114, 523, 53, 956 is 1

2. Where do I get the detailed procedure to find GCD of 114, 523, 53, 956?

You can find a detailed procedure to find GCD of 114, 523, 53, 956 on our page.

3. How to find GCD of 114, 523, 53, 956 on a calculator?

You can find the GCD of 114, 523, 53, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.