GCD of 266, 698, 950, 713 Calculator

Given Input numbers are 266, 698, 950, 713

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

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

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 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 266, 698, 950, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 698, 950, 713 is 1.

Therefore, GCD of numbers 266, 698, 950, 713 is 1

Given Input Data is 266, 698, 950, 713

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

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 698 is 2 x 349

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

Prime Factorization of 713 is 23 x 31

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(266, 698) = 92834

GCD(266, 698) = ( 266 x 698 ) / 92834

GCD(266, 698) = 185668 / 92834

GCD(266, 698) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 713

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

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

GCD(2, 713) = 1426 / 1426

GCD(2, 713) = 1

GCD of 266, 698, 950, 713 is 1

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1. What is the GCD of 266, 698, 950, 713?

GCD of 266, 698, 950, 713 is 1

2. Where do I get the detailed procedure to find GCD of 266, 698, 950, 713?

You can find a detailed procedure to find GCD of 266, 698, 950, 713 on our page.

3. How to find GCD of 266, 698, 950, 713 on a calculator?

You can find the GCD of 266, 698, 950, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.