GCD of 947, 850, 75, 914 Calculator

Given Input numbers are 947, 850, 75, 914

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

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

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 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 947, 850, 75, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 947, 850, 75, 914 is 1.

Therefore, GCD of numbers 947, 850, 75, 914 is 1

Given Input Data is 947, 850, 75, 914

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

Prime Factorization of 947 is 947

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 914 is 2 x 457

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(947, 850) = 804950

GCD(947, 850) = ( 947 x 850 ) / 804950

GCD(947, 850) = 804950 / 804950

GCD(947, 850) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 947, 850, 75, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 449, 69, 448
• GCD of 531, 153, 95, 535
• GCD of 586, 512, 15, 184
• GCD of 699, 288, 58, 275
• GCD of 331, 950, 79, 706

1. What is the GCD of 947, 850, 75, 914?

GCD of 947, 850, 75, 914 is 1

2. Where do I get the detailed procedure to find GCD of 947, 850, 75, 914?

You can find a detailed procedure to find GCD of 947, 850, 75, 914 on our page.

3. How to find GCD of 947, 850, 75, 914 on a calculator?

You can find the GCD of 947, 850, 75, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.