GCD of 427, 598, 414, 755 Calculator

Given Input numbers are 427, 598, 414, 755

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

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 427, 598, 414, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 598, 414, 755 is 1.

Therefore, GCD of numbers 427, 598, 414, 755 is 1

Given Input Data is 427, 598, 414, 755

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

Prime Factorization of 427 is 7 x 61

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 755 is 5 x 151

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(427, 598) = 255346

GCD(427, 598) = ( 427 x 598 ) / 255346

GCD(427, 598) = 255346 / 255346

GCD(427, 598) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 427, 598, 414, 755 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 127, 781, 121
• GCD of 751, 431, 145, 858
• GCD of 693, 963, 182, 849
• GCD of 420, 871, 639, 192
• GCD of 433, 786, 998, 111

1. What is the GCD of 427, 598, 414, 755?

GCD of 427, 598, 414, 755 is 1

2. Where do I get the detailed procedure to find GCD of 427, 598, 414, 755?

You can find a detailed procedure to find GCD of 427, 598, 414, 755 on our page.

3. How to find GCD of 427, 598, 414, 755 on a calculator?

You can find the GCD of 427, 598, 414, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.