GCD of 705, 460, 118, 820 Calculator

Given Input numbers are 705, 460, 118, 820

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 705, 460, 118, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 460, 118, 820 is 1.

Therefore, GCD of numbers 705, 460, 118, 820 is 1

Given Input Data is 705, 460, 118, 820

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 460 is 2 x 2 x 5 x 23

Prime Factorization of 118 is 2 x 59

Prime Factorization of 820 is 2 x 2 x 5 x 41

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, 460) = 64860

GCD(705, 460) = ( 705 x 460 ) / 64860

GCD(705, 460) = 324300 / 64860

GCD(705, 460) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 118

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

LCM(5, 118) = 590

GCD(5, 118) = ( 5 x 118 ) / 590

GCD(5, 118) = 590 / 590

GCD(5, 118) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 705, 460, 118, 820 is 1

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1. What is the GCD of 705, 460, 118, 820?

GCD of 705, 460, 118, 820 is 1

2. Where do I get the detailed procedure to find GCD of 705, 460, 118, 820?

You can find a detailed procedure to find GCD of 705, 460, 118, 820 on our page.

3. How to find GCD of 705, 460, 118, 820 on a calculator?

You can find the GCD of 705, 460, 118, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.