GCD of 102, 950, 871, 616 Calculator

Given Input numbers are 102, 950, 871, 616

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 871

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

1, 13, 67, 871

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 102, 950, 871, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 950, 871, 616 is 1.

Therefore, GCD of numbers 102, 950, 871, 616 is 1

Given Input Data is 102, 950, 871, 616

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 871 is 13 x 67

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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(102, 950) = 48450

GCD(102, 950) = ( 102 x 950 ) / 48450

GCD(102, 950) = 96900 / 48450

GCD(102, 950) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 871

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

LCM(2, 871) = 1742

GCD(2, 871) = ( 2 x 871 ) / 1742

GCD(2, 871) = 1742 / 1742

GCD(2, 871) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

GCD of 102, 950, 871, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 867, 390, 335, 682
• GCD of 603, 474, 547, 843
• GCD of 187, 671, 557, 860
• GCD of 728, 434, 799, 328
• GCD of 104, 561, 832, 498

1. What is the GCD of 102, 950, 871, 616?

GCD of 102, 950, 871, 616 is 1

2. Where do I get the detailed procedure to find GCD of 102, 950, 871, 616?

You can find a detailed procedure to find GCD of 102, 950, 871, 616 on our page.

3. How to find GCD of 102, 950, 871, 616 on a calculator?

You can find the GCD of 102, 950, 871, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.