GCD of 146, 712, 34, 345 Calculator

Given Input numbers are 146, 712, 34, 345

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 146, 712, 34, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 712, 34, 345 is 1.

Therefore, GCD of numbers 146, 712, 34, 345 is 1

Given Input Data is 146, 712, 34, 345

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 34 is 2 x 17

Prime Factorization of 345 is 3 x 5 x 23

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(146, 712) = 51976

GCD(146, 712) = ( 146 x 712 ) / 51976

GCD(146, 712) = 103952 / 51976

GCD(146, 712) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 345

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

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

GCD(2, 345) = 690 / 690

GCD(2, 345) = 1

GCD of 146, 712, 34, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 595, 25, 329
• GCD of 673, 723, 66, 987
• GCD of 678, 821, 73, 498
• GCD of 192, 690, 25, 681
• GCD of 415, 789, 96, 334

1. What is the GCD of 146, 712, 34, 345?

GCD of 146, 712, 34, 345 is 1

2. Where do I get the detailed procedure to find GCD of 146, 712, 34, 345?

You can find a detailed procedure to find GCD of 146, 712, 34, 345 on our page.

3. How to find GCD of 146, 712, 34, 345 on a calculator?

You can find the GCD of 146, 712, 34, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.