GCD of 610, 296, 749, 563 Calculator

Given Input numbers are 610, 296, 749, 563

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 749

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

1, 7, 107, 749

Divisors of 563

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

1, 563

Greatest Common Divisior

We found the divisors of 610, 296, 749, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 296, 749, 563 is 1.

Therefore, GCD of numbers 610, 296, 749, 563 is 1

Given Input Data is 610, 296, 749, 563

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 749 is 7 x 107

Prime Factorization of 563 is 563

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(610, 296) = 90280

GCD(610, 296) = ( 610 x 296 ) / 90280

GCD(610, 296) = 180560 / 90280

GCD(610, 296) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 749

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

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

GCD(2, 749) = 1498 / 1498

GCD(2, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 610, 296, 749, 563 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 895, 441, 651
• GCD of 703, 727, 749, 523
• GCD of 645, 623, 438, 237
• GCD of 327, 625, 763, 814
• GCD of 120, 853, 820, 321

1. What is the GCD of 610, 296, 749, 563?

GCD of 610, 296, 749, 563 is 1

2. Where do I get the detailed procedure to find GCD of 610, 296, 749, 563?

You can find a detailed procedure to find GCD of 610, 296, 749, 563 on our page.

3. How to find GCD of 610, 296, 749, 563 on a calculator?

You can find the GCD of 610, 296, 749, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.