GCD of 857, 707, 820, 830 Calculator

Given Input numbers are 857, 707, 820, 830

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

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 857, 707, 820, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 857, 707, 820, 830 is 1.

Therefore, GCD of numbers 857, 707, 820, 830 is 1

Given Input Data is 857, 707, 820, 830

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

Prime Factorization of 857 is 857

Prime Factorization of 707 is 7 x 101

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

Prime Factorization of 830 is 2 x 5 x 83

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(857, 707) = 605899

GCD(857, 707) = ( 857 x 707 ) / 605899

GCD(857, 707) = 605899 / 605899

GCD(857, 707) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

GCD of 857, 707, 820, 830 is 1

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1. What is the GCD of 857, 707, 820, 830?

GCD of 857, 707, 820, 830 is 1

2. Where do I get the detailed procedure to find GCD of 857, 707, 820, 830?

You can find a detailed procedure to find GCD of 857, 707, 820, 830 on our page.

3. How to find GCD of 857, 707, 820, 830 on a calculator?

You can find the GCD of 857, 707, 820, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.