GCD of 278, 167, 561, 346 Calculator

Given Input numbers are 278, 167, 561, 346

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 278, 167, 561, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 167, 561, 346 is 1.

Therefore, GCD of numbers 278, 167, 561, 346 is 1

Given Input Data is 278, 167, 561, 346

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 167 is 167

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 346 is 2 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(278, 167) = 46426

GCD(278, 167) = ( 278 x 167 ) / 46426

GCD(278, 167) = 46426 / 46426

GCD(278, 167) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

GCD of 278, 167, 561, 346 is 1

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1. What is the GCD of 278, 167, 561, 346?

GCD of 278, 167, 561, 346 is 1

2. Where do I get the detailed procedure to find GCD of 278, 167, 561, 346?

You can find a detailed procedure to find GCD of 278, 167, 561, 346 on our page.

3. How to find GCD of 278, 167, 561, 346 on a calculator?

You can find the GCD of 278, 167, 561, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.