GCD of 345, 345, 45, 373 Calculator

Given Input numbers are 345, 345, 45, 373

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

Divisors of 345

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

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

Divisors of 345

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

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

Greatest Common Divisior

We found the divisors of 345, 345, 45, 373 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 345, 45, 373 is 1.

Therefore, GCD of numbers 345, 345, 45, 373 is 1

Given Input Data is 345, 345, 45, 373

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 373 is 373

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(345, 345) = 345

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

GCD(345, 345) = 119025 / 345

GCD(345, 345) = 345

Step2:

Here we consider the GCD from the above i.e. 345 as first number and the next as 45

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

LCM(345, 45) = 1035

GCD(345, 45) = ( 345 x 45 ) / 1035

GCD(345, 45) = 15525 / 1035

GCD(345, 45) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 373

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

LCM(15, 373) = 5595

GCD(15, 373) = ( 15 x 373 ) / 5595

GCD(15, 373) = 5595 / 5595

GCD(15, 373) = 1

GCD of 345, 345, 45, 373 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 141, 64, 127
• GCD of 859, 972, 31, 493
• GCD of 226, 384, 99, 894
• GCD of 941, 513, 27, 187
• GCD of 914, 975, 94, 804

1. What is the GCD of 345, 345, 45, 373?

GCD of 345, 345, 45, 373 is 1

2. Where do I get the detailed procedure to find GCD of 345, 345, 45, 373?

You can find a detailed procedure to find GCD of 345, 345, 45, 373 on our page.

3. How to find GCD of 345, 345, 45, 373 on a calculator?

You can find the GCD of 345, 345, 45, 373 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.