GCD of 145, 949, 64, 814 Calculator

Given Input numbers are 145, 949, 64, 814

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 949

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

1, 13, 73, 949

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 145, 949, 64, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 949, 64, 814 is 1.

Therefore, GCD of numbers 145, 949, 64, 814 is 1

Given Input Data is 145, 949, 64, 814

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 949 is 13 x 73

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

Prime Factorization of 814 is 2 x 11 x 37

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(145, 949) = 137605

GCD(145, 949) = ( 145 x 949 ) / 137605

GCD(145, 949) = 137605 / 137605

GCD(145, 949) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 145, 949, 64, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 408, 29, 913
• GCD of 222, 686, 63, 127
• GCD of 341, 956, 45, 295
• GCD of 751, 141, 56, 322
• GCD of 237, 300, 96, 259

1. What is the GCD of 145, 949, 64, 814?

GCD of 145, 949, 64, 814 is 1

2. Where do I get the detailed procedure to find GCD of 145, 949, 64, 814?

You can find a detailed procedure to find GCD of 145, 949, 64, 814 on our page.

3. How to find GCD of 145, 949, 64, 814 on a calculator?

You can find the GCD of 145, 949, 64, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.