GCD of 865, 420, 975, 871 Calculator

Given Input numbers are 865, 420, 975, 871

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

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 865, 420, 975, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 420, 975, 871 is 1.

Therefore, GCD of numbers 865, 420, 975, 871 is 1

Given Input Data is 865, 420, 975, 871

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

Prime Factorization of 865 is 5 x 173

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 871 is 13 x 67

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(865, 420) = 72660

GCD(865, 420) = ( 865 x 420 ) / 72660

GCD(865, 420) = 363300 / 72660

GCD(865, 420) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 975

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

LCM(5, 975) = 975

GCD(5, 975) = ( 5 x 975 ) / 975

GCD(5, 975) = 4875 / 975

GCD(5, 975) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 871

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

LCM(5, 871) = 4355

GCD(5, 871) = ( 5 x 871 ) / 4355

GCD(5, 871) = 4355 / 4355

GCD(5, 871) = 1

GCD of 865, 420, 975, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 450, 562, 713
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• GCD of 769, 223, 329, 135

1. What is the GCD of 865, 420, 975, 871?

GCD of 865, 420, 975, 871 is 1

2. Where do I get the detailed procedure to find GCD of 865, 420, 975, 871?

You can find a detailed procedure to find GCD of 865, 420, 975, 871 on our page.

3. How to find GCD of 865, 420, 975, 871 on a calculator?

You can find the GCD of 865, 420, 975, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.