GCD of 614, 734, 950 Calculator

Given Input numbers are 614, 734, 950

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

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 614, 734, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 734, 950 is 2.

Therefore, GCD of numbers 614, 734, 950 is 2

Given Input Data is 614, 734, 950

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 734 is 2 x 367

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(614, 734) = 225338

GCD(614, 734) = ( 614 x 734 ) / 225338

GCD(614, 734) = 450676 / 225338

GCD(614, 734) = 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

GCD of 614, 734, 950 is 2

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1. What is the GCD of 614, 734, 950?

GCD of 614, 734, 950 is 2

2. Where do I get the detailed procedure to find GCD of 614, 734, 950?

You can find a detailed procedure to find GCD of 614, 734, 950 on our page.

3. How to find GCD of 614, 734, 950 on a calculator?

You can find the GCD of 614, 734, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.