GCD of 277, 159, 165, 706 Calculator

Given Input numbers are 277, 159, 165, 706

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

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 159

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

1, 3, 53, 159

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 277, 159, 165, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 277, 159, 165, 706 is 1.

Therefore, GCD of numbers 277, 159, 165, 706 is 1

Given Input Data is 277, 159, 165, 706

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

Prime Factorization of 277 is 277

Prime Factorization of 159 is 3 x 53

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 706 is 2 x 353

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(277, 159) = 44043

GCD(277, 159) = ( 277 x 159 ) / 44043

GCD(277, 159) = 44043 / 44043

GCD(277, 159) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 277, 159, 165, 706 is 1

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1. What is the GCD of 277, 159, 165, 706?

GCD of 277, 159, 165, 706 is 1

2. Where do I get the detailed procedure to find GCD of 277, 159, 165, 706?

You can find a detailed procedure to find GCD of 277, 159, 165, 706 on our page.

3. How to find GCD of 277, 159, 165, 706 on a calculator?

You can find the GCD of 277, 159, 165, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.