GCD of 126, 708, 43, 565 Calculator

Given Input numbers are 126, 708, 43, 565

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 126, 708, 43, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 708, 43, 565 is 1.

Therefore, GCD of numbers 126, 708, 43, 565 is 1

Given Input Data is 126, 708, 43, 565

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 43 is 43

Prime Factorization of 565 is 5 x 113

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(126, 708) = 14868

GCD(126, 708) = ( 126 x 708 ) / 14868

GCD(126, 708) = 89208 / 14868

GCD(126, 708) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 43

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

LCM(6, 43) = 258

GCD(6, 43) = ( 6 x 43 ) / 258

GCD(6, 43) = 258 / 258

GCD(6, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 126, 708, 43, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 940, 776, 91, 517
• GCD of 857, 511, 28, 275
• GCD of 321, 594, 95, 853
• GCD of 608, 829, 86, 394
• GCD of 243, 610, 50, 903

1. What is the GCD of 126, 708, 43, 565?

GCD of 126, 708, 43, 565 is 1

2. Where do I get the detailed procedure to find GCD of 126, 708, 43, 565?

You can find a detailed procedure to find GCD of 126, 708, 43, 565 on our page.

3. How to find GCD of 126, 708, 43, 565 on a calculator?

You can find the GCD of 126, 708, 43, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.