GCD of 750, 949, 950, 214 Calculator

Given Input numbers are 750, 949, 950, 214

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

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 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 750, 949, 950, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 949, 950, 214 is 1.

Therefore, GCD of numbers 750, 949, 950, 214 is 1

Given Input Data is 750, 949, 950, 214

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 949 is 13 x 73

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

Prime Factorization of 214 is 2 x 107

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(750, 949) = 711750

GCD(750, 949) = ( 750 x 949 ) / 711750

GCD(750, 949) = 711750 / 711750

GCD(750, 949) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 750, 949, 950, 214 is 1

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1. What is the GCD of 750, 949, 950, 214?

GCD of 750, 949, 950, 214 is 1

2. Where do I get the detailed procedure to find GCD of 750, 949, 950, 214?

You can find a detailed procedure to find GCD of 750, 949, 950, 214 on our page.

3. How to find GCD of 750, 949, 950, 214 on a calculator?

You can find the GCD of 750, 949, 950, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.