GCD of 545, 563, 814, 749 Calculator

Given Input numbers are 545, 563, 814, 749

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

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 814

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

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 545, 563, 814, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 563, 814, 749 is 1.

Therefore, GCD of numbers 545, 563, 814, 749 is 1

Given Input Data is 545, 563, 814, 749

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

Prime Factorization of 545 is 5 x 109

Prime Factorization of 563 is 563

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 749 is 7 x 107

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(545, 563) = 306835

GCD(545, 563) = ( 545 x 563 ) / 306835

GCD(545, 563) = 306835 / 306835

GCD(545, 563) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 545, 563, 814, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 987, 314, 528
• GCD of 539, 751, 217, 327
• GCD of 231, 657, 290, 615
• GCD of 562, 960, 275, 398
• GCD of 392, 196, 293, 426

1. What is the GCD of 545, 563, 814, 749?

GCD of 545, 563, 814, 749 is 1

2. Where do I get the detailed procedure to find GCD of 545, 563, 814, 749?

You can find a detailed procedure to find GCD of 545, 563, 814, 749 on our page.

3. How to find GCD of 545, 563, 814, 749 on a calculator?

You can find the GCD of 545, 563, 814, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.