GCD of 67, 116, 657, 513 Calculator

Given Input numbers are 67, 116, 657, 513

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 67, 116, 657, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 116, 657, 513 is 1.

Therefore, GCD of numbers 67, 116, 657, 513 is 1

Given Input Data is 67, 116, 657, 513

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

Prime Factorization of 67 is 67

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 513 is 3 x 3 x 3 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(67, 116) = 7772

GCD(67, 116) = ( 67 x 116 ) / 7772

GCD(67, 116) = 7772 / 7772

GCD(67, 116) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 67, 116, 657, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 951, 697, 991
• GCD of 65, 269, 546, 523
• GCD of 59, 346, 206, 707
• GCD of 25, 728, 216, 476
• GCD of 26, 800, 313, 155

1. What is the GCD of 67, 116, 657, 513?

GCD of 67, 116, 657, 513 is 1

2. Where do I get the detailed procedure to find GCD of 67, 116, 657, 513?

You can find a detailed procedure to find GCD of 67, 116, 657, 513 on our page.

3. How to find GCD of 67, 116, 657, 513 on a calculator?

You can find the GCD of 67, 116, 657, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.