GCD of 300, 345, 64, 949 Calculator

Given Input numbers are 300, 345, 64, 949

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 300, 345, 64, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 345, 64, 949 is 1.

Therefore, GCD of numbers 300, 345, 64, 949 is 1

Given Input Data is 300, 345, 64, 949

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 949 is 13 x 73

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(300, 345) = 6900

GCD(300, 345) = ( 300 x 345 ) / 6900

GCD(300, 345) = 103500 / 6900

GCD(300, 345) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 64

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

LCM(15, 64) = 960

GCD(15, 64) = ( 15 x 64 ) / 960

GCD(15, 64) = 960 / 960

GCD(15, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 300, 345, 64, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 462, 19, 893
• GCD of 199, 906, 29, 532
• GCD of 710, 928, 71, 281
• GCD of 373, 570, 85, 290
• GCD of 522, 553, 69, 393

1. What is the GCD of 300, 345, 64, 949?

GCD of 300, 345, 64, 949 is 1

2. Where do I get the detailed procedure to find GCD of 300, 345, 64, 949?

You can find a detailed procedure to find GCD of 300, 345, 64, 949 on our page.

3. How to find GCD of 300, 345, 64, 949 on a calculator?

You can find the GCD of 300, 345, 64, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.