GCD of 705, 580, 456, 718 Calculator

Given Input numbers are 705, 580, 456, 718

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 705, 580, 456, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 580, 456, 718 is 1.

Therefore, GCD of numbers 705, 580, 456, 718 is 1

Given Input Data is 705, 580, 456, 718

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 718 is 2 x 359

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(705, 580) = 81780

GCD(705, 580) = ( 705 x 580 ) / 81780

GCD(705, 580) = 408900 / 81780

GCD(705, 580) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 456

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

LCM(5, 456) = 2280

GCD(5, 456) = ( 5 x 456 ) / 2280

GCD(5, 456) = 2280 / 2280

GCD(5, 456) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 718

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

LCM(1, 718) = 718

GCD(1, 718) = ( 1 x 718 ) / 718

GCD(1, 718) = 718 / 718

GCD(1, 718) = 1

GCD of 705, 580, 456, 718 is 1

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1. What is the GCD of 705, 580, 456, 718?

GCD of 705, 580, 456, 718 is 1

2. Where do I get the detailed procedure to find GCD of 705, 580, 456, 718?

You can find a detailed procedure to find GCD of 705, 580, 456, 718 on our page.

3. How to find GCD of 705, 580, 456, 718 on a calculator?

You can find the GCD of 705, 580, 456, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.