GCD of 134, 524, 527, 699 Calculator

Given Input numbers are 134, 524, 527, 699

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

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 134, 524, 527, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 524, 527, 699 is 1.

Therefore, GCD of numbers 134, 524, 527, 699 is 1

Given Input Data is 134, 524, 527, 699

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 527 is 17 x 31

Prime Factorization of 699 is 3 x 233

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(134, 524) = 35108

GCD(134, 524) = ( 134 x 524 ) / 35108

GCD(134, 524) = 70216 / 35108

GCD(134, 524) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 527

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

LCM(2, 527) = 1054

GCD(2, 527) = ( 2 x 527 ) / 1054

GCD(2, 527) = 1054 / 1054

GCD(2, 527) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 134, 524, 527, 699 is 1

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1. What is the GCD of 134, 524, 527, 699?

GCD of 134, 524, 527, 699 is 1

2. Where do I get the detailed procedure to find GCD of 134, 524, 527, 699?

You can find a detailed procedure to find GCD of 134, 524, 527, 699 on our page.

3. How to find GCD of 134, 524, 527, 699 on a calculator?

You can find the GCD of 134, 524, 527, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.