GCD of 342, 461, 85, 275 Calculator

Given Input numbers are 342, 461, 85, 275

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 342, 461, 85, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 461, 85, 275 is 1.

Therefore, GCD of numbers 342, 461, 85, 275 is 1

Given Input Data is 342, 461, 85, 275

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 461 is 461

Prime Factorization of 85 is 5 x 17

Prime Factorization of 275 is 5 x 5 x 11

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(342, 461) = 157662

GCD(342, 461) = ( 342 x 461 ) / 157662

GCD(342, 461) = 157662 / 157662

GCD(342, 461) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 342, 461, 85, 275 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 629, 29, 847
• GCD of 824, 712, 69, 423
• GCD of 524, 933, 25, 972
• GCD of 180, 601, 12, 463
• GCD of 602, 249, 26, 700

1. What is the GCD of 342, 461, 85, 275?

GCD of 342, 461, 85, 275 is 1

2. Where do I get the detailed procedure to find GCD of 342, 461, 85, 275?

You can find a detailed procedure to find GCD of 342, 461, 85, 275 on our page.

3. How to find GCD of 342, 461, 85, 275 on a calculator?

You can find the GCD of 342, 461, 85, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.