GCD of 67, 257, 742, 865 Calculator

Given Input numbers are 67, 257, 742, 865

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 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Greatest Common Divisior

We found the divisors of 67, 257, 742, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 257, 742, 865 is 1.

Therefore, GCD of numbers 67, 257, 742, 865 is 1

Given Input Data is 67, 257, 742, 865

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

Prime Factorization of 67 is 67

Prime Factorization of 257 is 257

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 865 is 5 x 173

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, 257) = 17219

GCD(67, 257) = ( 67 x 257 ) / 17219

GCD(67, 257) = 17219 / 17219

GCD(67, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 865

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

LCM(1, 865) = 865

GCD(1, 865) = ( 1 x 865 ) / 865

GCD(1, 865) = 865 / 865

GCD(1, 865) = 1

GCD of 67, 257, 742, 865 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 259, 103, 795
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• GCD of 62, 126, 461, 904
• GCD of 47, 303, 716, 940
• GCD of 73, 208, 862, 824

1. What is the GCD of 67, 257, 742, 865?

GCD of 67, 257, 742, 865 is 1

2. Where do I get the detailed procedure to find GCD of 67, 257, 742, 865?

You can find a detailed procedure to find GCD of 67, 257, 742, 865 on our page.

3. How to find GCD of 67, 257, 742, 865 on a calculator?

You can find the GCD of 67, 257, 742, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.