GCD of 22, 850, 770, 950 Calculator

Given Input numbers are 22, 850, 770, 950

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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 22, 850, 770, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 850, 770, 950 is 2.

Therefore, GCD of numbers 22, 850, 770, 950 is 2

Given Input Data is 22, 850, 770, 950

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 770 is 2 x 5 x 7 x 11

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(22, 850) = 9350

GCD(22, 850) = ( 22 x 850 ) / 9350

GCD(22, 850) = 18700 / 9350

GCD(22, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 770

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

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

GCD(2, 770) = 1540 / 770

GCD(2, 770) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 950

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

LCM(2, 950) = 950

GCD(2, 950) = ( 2 x 950 ) / 950

GCD(2, 950) = 1900 / 950

GCD(2, 950) = 2

GCD of 22, 850, 770, 950 is 2

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1. What is the GCD of 22, 850, 770, 950?

GCD of 22, 850, 770, 950 is 2

2. Where do I get the detailed procedure to find GCD of 22, 850, 770, 950?

You can find a detailed procedure to find GCD of 22, 850, 770, 950 on our page.

3. How to find GCD of 22, 850, 770, 950 on a calculator?

You can find the GCD of 22, 850, 770, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.