GCD of 470, 945, 83, 707 Calculator

Given Input numbers are 470, 945, 83, 707

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 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 707

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

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 470, 945, 83, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 945, 83, 707 is 1.

Therefore, GCD of numbers 470, 945, 83, 707 is 1

Given Input Data is 470, 945, 83, 707

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 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 83 is 83

Prime Factorization of 707 is 7 x 101

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, 945) = 88830

GCD(470, 945) = ( 470 x 945 ) / 88830

GCD(470, 945) = 444150 / 88830

GCD(470, 945) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 83

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

LCM(5, 83) = 415

GCD(5, 83) = ( 5 x 83 ) / 415

GCD(5, 83) = 415 / 415

GCD(5, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

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

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

GCD of 470, 945, 83, 707 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 864, 524, 15, 717
• GCD of 615, 240, 87, 843
• GCD of 574, 668, 39, 432
• GCD of 130, 731, 66, 615
• GCD of 462, 422, 94, 130

1. What is the GCD of 470, 945, 83, 707?

GCD of 470, 945, 83, 707 is 1

2. Where do I get the detailed procedure to find GCD of 470, 945, 83, 707?

You can find a detailed procedure to find GCD of 470, 945, 83, 707 on our page.

3. How to find GCD of 470, 945, 83, 707 on a calculator?

You can find the GCD of 470, 945, 83, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.