GCD of 946, 901, 76, 814 Calculator

Given Input numbers are 946, 901, 76, 814

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 946, 901, 76, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 901, 76, 814 is 1.

Therefore, GCD of numbers 946, 901, 76, 814 is 1

Given Input Data is 946, 901, 76, 814

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 901 is 17 x 53

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 814 is 2 x 11 x 37

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(946, 901) = 852346

GCD(946, 901) = ( 946 x 901 ) / 852346

GCD(946, 901) = 852346 / 852346

GCD(946, 901) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 946, 901, 76, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 500, 13, 315
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• GCD of 950, 820, 88, 628

1. What is the GCD of 946, 901, 76, 814?

GCD of 946, 901, 76, 814 is 1

2. Where do I get the detailed procedure to find GCD of 946, 901, 76, 814?

You can find a detailed procedure to find GCD of 946, 901, 76, 814 on our page.

3. How to find GCD of 946, 901, 76, 814 on a calculator?

You can find the GCD of 946, 901, 76, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.