GCD of 106, 650, 77, 950 Calculator

Given Input numbers are 106, 650, 77, 950

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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

Greatest Common Divisior

We found the divisors of 106, 650, 77, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 650, 77, 950 is 1.

Therefore, GCD of numbers 106, 650, 77, 950 is 1

Given Input Data is 106, 650, 77, 950

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 77 is 7 x 11

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

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(106, 650) = 34450

GCD(106, 650) = ( 106 x 650 ) / 34450

GCD(106, 650) = 68900 / 34450

GCD(106, 650) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 950

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

LCM(1, 950) = 950

GCD(1, 950) = ( 1 x 950 ) / 950

GCD(1, 950) = 950 / 950

GCD(1, 950) = 1

GCD of 106, 650, 77, 950 is 1

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1. What is the GCD of 106, 650, 77, 950?

GCD of 106, 650, 77, 950 is 1

2. Where do I get the detailed procedure to find GCD of 106, 650, 77, 950?

You can find a detailed procedure to find GCD of 106, 650, 77, 950 on our page.

3. How to find GCD of 106, 650, 77, 950 on a calculator?

You can find the GCD of 106, 650, 77, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.