GCD of 807, 694, 142, 272 Calculator

Given Input numbers are 807, 694, 142, 272

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

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 694

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

1, 2, 347, 694

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 807, 694, 142, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 694, 142, 272 is 1.

Therefore, GCD of numbers 807, 694, 142, 272 is 1

Given Input Data is 807, 694, 142, 272

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

Prime Factorization of 807 is 3 x 269

Prime Factorization of 694 is 2 x 347

Prime Factorization of 142 is 2 x 71

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(807, 694) = 560058

GCD(807, 694) = ( 807 x 694 ) / 560058

GCD(807, 694) = 560058 / 560058

GCD(807, 694) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 807, 694, 142, 272 is 1

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1. What is the GCD of 807, 694, 142, 272?

GCD of 807, 694, 142, 272 is 1

2. Where do I get the detailed procedure to find GCD of 807, 694, 142, 272?

You can find a detailed procedure to find GCD of 807, 694, 142, 272 on our page.

3. How to find GCD of 807, 694, 142, 272 on a calculator?

You can find the GCD of 807, 694, 142, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.