GCD of 67, 231, 598, 736 Calculator

Given Input numbers are 67, 231, 598, 736

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

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 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 67, 231, 598, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 231, 598, 736 is 1.

Therefore, GCD of numbers 67, 231, 598, 736 is 1

Given Input Data is 67, 231, 598, 736

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

Prime Factorization of 67 is 67

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(67, 231) = 15477

GCD(67, 231) = ( 67 x 231 ) / 15477

GCD(67, 231) = 15477 / 15477

GCD(67, 231) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 67, 231, 598, 736 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 448, 598, 411
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• GCD of 30, 947, 646, 976
• GCD of 78, 708, 693, 877

1. What is the GCD of 67, 231, 598, 736?

GCD of 67, 231, 598, 736 is 1

2. Where do I get the detailed procedure to find GCD of 67, 231, 598, 736?

You can find a detailed procedure to find GCD of 67, 231, 598, 736 on our page.

3. How to find GCD of 67, 231, 598, 736 on a calculator?

You can find the GCD of 67, 231, 598, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.