GCD of 752, 566, 45, 616 Calculator

Given Input numbers are 752, 566, 45, 616

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 752, 566, 45, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 566, 45, 616 is 1.

Therefore, GCD of numbers 752, 566, 45, 616 is 1

Given Input Data is 752, 566, 45, 616

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 566 is 2 x 283

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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(752, 566) = 212816

GCD(752, 566) = ( 752 x 566 ) / 212816

GCD(752, 566) = 425632 / 212816

GCD(752, 566) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

GCD of 752, 566, 45, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 968, 82, 337
• GCD of 635, 825, 47, 743
• GCD of 596, 225, 73, 194
• GCD of 203, 890, 84, 635
• GCD of 110, 552, 43, 342

1. What is the GCD of 752, 566, 45, 616?

GCD of 752, 566, 45, 616 is 1

2. Where do I get the detailed procedure to find GCD of 752, 566, 45, 616?

You can find a detailed procedure to find GCD of 752, 566, 45, 616 on our page.

3. How to find GCD of 752, 566, 45, 616 on a calculator?

You can find the GCD of 752, 566, 45, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.