GCD of 850, 966, 460, 743 Calculator

Given Input numbers are 850, 966, 460, 743

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

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 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 850, 966, 460, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 966, 460, 743 is 1.

Therefore, GCD of numbers 850, 966, 460, 743 is 1

Given Input Data is 850, 966, 460, 743

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

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 743 is 743

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(850, 966) = 410550

GCD(850, 966) = ( 850 x 966 ) / 410550

GCD(850, 966) = 821100 / 410550

GCD(850, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 460

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

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

GCD(2, 460) = 920 / 460

GCD(2, 460) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 743

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

LCM(2, 743) = 1486

GCD(2, 743) = ( 2 x 743 ) / 1486

GCD(2, 743) = 1486 / 1486

GCD(2, 743) = 1

GCD of 850, 966, 460, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 314, 116, 815
• GCD of 705, 849, 345, 278
• GCD of 554, 341, 744, 808
• GCD of 974, 662, 529, 726
• GCD of 831, 644, 461, 881

1. What is the GCD of 850, 966, 460, 743?

GCD of 850, 966, 460, 743 is 1

2. Where do I get the detailed procedure to find GCD of 850, 966, 460, 743?

You can find a detailed procedure to find GCD of 850, 966, 460, 743 on our page.

3. How to find GCD of 850, 966, 460, 743 on a calculator?

You can find the GCD of 850, 966, 460, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.