GCD of 706, 901, 87, 820 Calculator

Given Input numbers are 706, 901, 87, 820

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

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 706, 901, 87, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 901, 87, 820 is 1.

Therefore, GCD of numbers 706, 901, 87, 820 is 1

Given Input Data is 706, 901, 87, 820

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 901 is 17 x 53

Prime Factorization of 87 is 3 x 29

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(706, 901) = 636106

GCD(706, 901) = ( 706 x 901 ) / 636106

GCD(706, 901) = 636106 / 636106

GCD(706, 901) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 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 706, 901, 87, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 708, 56, 298
• GCD of 196, 766, 17, 951
• GCD of 179, 677, 98, 966
• GCD of 667, 977, 57, 691
• GCD of 449, 402, 18, 880

1. What is the GCD of 706, 901, 87, 820?

GCD of 706, 901, 87, 820 is 1

2. Where do I get the detailed procedure to find GCD of 706, 901, 87, 820?

You can find a detailed procedure to find GCD of 706, 901, 87, 820 on our page.

3. How to find GCD of 706, 901, 87, 820 on a calculator?

You can find the GCD of 706, 901, 87, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.