GCD of 196, 721, 35, 470 Calculator

Given Input numbers are 196, 721, 35, 470

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 196, 721, 35, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 721, 35, 470 is 1.

Therefore, GCD of numbers 196, 721, 35, 470 is 1

Given Input Data is 196, 721, 35, 470

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 721 is 7 x 103

Prime Factorization of 35 is 5 x 7

Prime Factorization of 470 is 2 x 5 x 47

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(196, 721) = 20188

GCD(196, 721) = ( 196 x 721 ) / 20188

GCD(196, 721) = 141316 / 20188

GCD(196, 721) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 35

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

LCM(7, 35) = 35

GCD(7, 35) = ( 7 x 35 ) / 35

GCD(7, 35) = 245 / 35

GCD(7, 35) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 470

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

LCM(7, 470) = 3290

GCD(7, 470) = ( 7 x 470 ) / 3290

GCD(7, 470) = 3290 / 3290

GCD(7, 470) = 1

GCD of 196, 721, 35, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 457, 547, 29, 973
• GCD of 187, 445, 97, 594
• GCD of 504, 715, 59, 869
• GCD of 475, 771, 45, 725
• GCD of 169, 224, 26, 940

1. What is the GCD of 196, 721, 35, 470?

GCD of 196, 721, 35, 470 is 1

2. Where do I get the detailed procedure to find GCD of 196, 721, 35, 470?

You can find a detailed procedure to find GCD of 196, 721, 35, 470 on our page.

3. How to find GCD of 196, 721, 35, 470 on a calculator?

You can find the GCD of 196, 721, 35, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.