GCD of 470, 357, 73, 713 Calculator

Given Input numbers are 470, 357, 73, 713

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

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 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 470, 357, 73, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 357, 73, 713 is 1.

Therefore, GCD of numbers 470, 357, 73, 713 is 1

Given Input Data is 470, 357, 73, 713

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 73 is 73

Prime Factorization of 713 is 23 x 31

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(470, 357) = 167790

GCD(470, 357) = ( 470 x 357 ) / 167790

GCD(470, 357) = 167790 / 167790

GCD(470, 357) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 470, 357, 73, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 905, 45, 318
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• GCD of 289, 380, 31, 697
• GCD of 971, 293, 10, 828
• GCD of 762, 732, 97, 117

1. What is the GCD of 470, 357, 73, 713?

GCD of 470, 357, 73, 713 is 1

2. Where do I get the detailed procedure to find GCD of 470, 357, 73, 713?

You can find a detailed procedure to find GCD of 470, 357, 73, 713 on our page.

3. How to find GCD of 470, 357, 73, 713 on a calculator?

You can find the GCD of 470, 357, 73, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.