GCD of 232, 776, 45, 709 Calculator

Given Input numbers are 232, 776, 45, 709

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 232, 776, 45, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 776, 45, 709 is 1.

Therefore, GCD of numbers 232, 776, 45, 709 is 1

Given Input Data is 232, 776, 45, 709

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 709 is 709

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(232, 776) = 22504

GCD(232, 776) = ( 232 x 776 ) / 22504

GCD(232, 776) = 180032 / 22504

GCD(232, 776) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 45

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

LCM(8, 45) = 360

GCD(8, 45) = ( 8 x 45 ) / 360

GCD(8, 45) = 360 / 360

GCD(8, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 232, 776, 45, 709 is 1

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1. What is the GCD of 232, 776, 45, 709?

GCD of 232, 776, 45, 709 is 1

2. Where do I get the detailed procedure to find GCD of 232, 776, 45, 709?

You can find a detailed procedure to find GCD of 232, 776, 45, 709 on our page.

3. How to find GCD of 232, 776, 45, 709 on a calculator?

You can find the GCD of 232, 776, 45, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.