GCD of 268, 694, 75, 159 Calculator

Given Input numbers are 268, 694, 75, 159

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 268, 694, 75, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 694, 75, 159 is 1.

Therefore, GCD of numbers 268, 694, 75, 159 is 1

Given Input Data is 268, 694, 75, 159

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 694 is 2 x 347

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 159 is 3 x 53

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(268, 694) = 92996

GCD(268, 694) = ( 268 x 694 ) / 92996

GCD(268, 694) = 185992 / 92996

GCD(268, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 268, 694, 75, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 884, 12, 782
• GCD of 203, 117, 20, 347
• GCD of 127, 872, 89, 444
• GCD of 110, 971, 12, 184
• GCD of 863, 523, 20, 892

1. What is the GCD of 268, 694, 75, 159?

GCD of 268, 694, 75, 159 is 1

2. Where do I get the detailed procedure to find GCD of 268, 694, 75, 159?

You can find a detailed procedure to find GCD of 268, 694, 75, 159 on our page.

3. How to find GCD of 268, 694, 75, 159 on a calculator?

You can find the GCD of 268, 694, 75, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.