GCD of 215, 700, 470, 174 Calculator

Given Input numbers are 215, 700, 470, 174

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

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 470

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

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 215, 700, 470, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 700, 470, 174 is 1.

Therefore, GCD of numbers 215, 700, 470, 174 is 1

Given Input Data is 215, 700, 470, 174

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

Prime Factorization of 215 is 5 x 43

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 174 is 2 x 3 x 29

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(215, 700) = 30100

GCD(215, 700) = ( 215 x 700 ) / 30100

GCD(215, 700) = 150500 / 30100

GCD(215, 700) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 470

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

LCM(5, 470) = 470

GCD(5, 470) = ( 5 x 470 ) / 470

GCD(5, 470) = 2350 / 470

GCD(5, 470) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 174

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

LCM(5, 174) = 870

GCD(5, 174) = ( 5 x 174 ) / 870

GCD(5, 174) = 870 / 870

GCD(5, 174) = 1

GCD of 215, 700, 470, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 196, 409, 218
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• GCD of 477, 889, 305, 671

1. What is the GCD of 215, 700, 470, 174?

GCD of 215, 700, 470, 174 is 1

2. Where do I get the detailed procedure to find GCD of 215, 700, 470, 174?

You can find a detailed procedure to find GCD of 215, 700, 470, 174 on our page.

3. How to find GCD of 215, 700, 470, 174 on a calculator?

You can find the GCD of 215, 700, 470, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.