GCD of 961, 416, 84, 871 Calculator

Given Input numbers are 961, 416, 84, 871

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

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 961, 416, 84, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 416, 84, 871 is 1.

Therefore, GCD of numbers 961, 416, 84, 871 is 1

Given Input Data is 961, 416, 84, 871

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 84 is 2 x 2 x 3 x 7

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(961, 416) = 399776

GCD(961, 416) = ( 961 x 416 ) / 399776

GCD(961, 416) = 399776 / 399776

GCD(961, 416) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

GCD of 961, 416, 84, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 732, 49, 151
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• GCD of 641, 467, 38, 338
• GCD of 920, 155, 92, 488

1. What is the GCD of 961, 416, 84, 871?

GCD of 961, 416, 84, 871 is 1

2. Where do I get the detailed procedure to find GCD of 961, 416, 84, 871?

You can find a detailed procedure to find GCD of 961, 416, 84, 871 on our page.

3. How to find GCD of 961, 416, 84, 871 on a calculator?

You can find the GCD of 961, 416, 84, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.