GCD of 870, 715, 174, 425 Calculator

Given Input numbers are 870, 715, 174, 425

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 174

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

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

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Greatest Common Divisior

We found the divisors of 870, 715, 174, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 715, 174, 425 is 1.

Therefore, GCD of numbers 870, 715, 174, 425 is 1

Given Input Data is 870, 715, 174, 425

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 425 is 5 x 5 x 17

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(870, 715) = 124410

GCD(870, 715) = ( 870 x 715 ) / 124410

GCD(870, 715) = 622050 / 124410

GCD(870, 715) = 5

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 425

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

LCM(1, 425) = 425

GCD(1, 425) = ( 1 x 425 ) / 425

GCD(1, 425) = 425 / 425

GCD(1, 425) = 1

GCD of 870, 715, 174, 425 is 1

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• GCD of 361, 545, 317, 661
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• GCD of 201, 102, 425, 641
• GCD of 230, 816, 279, 582

1. What is the GCD of 870, 715, 174, 425?

GCD of 870, 715, 174, 425 is 1

2. Where do I get the detailed procedure to find GCD of 870, 715, 174, 425?

You can find a detailed procedure to find GCD of 870, 715, 174, 425 on our page.

3. How to find GCD of 870, 715, 174, 425 on a calculator?

You can find the GCD of 870, 715, 174, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.