GCD of 946, 321, 87, 766 Calculator

Given Input numbers are 946, 321, 87, 766

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 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 946, 321, 87, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 321, 87, 766 is 1.

Therefore, GCD of numbers 946, 321, 87, 766 is 1

Given Input Data is 946, 321, 87, 766

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 321 is 3 x 107

Prime Factorization of 87 is 3 x 29

Prime Factorization of 766 is 2 x 383

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, 321) = 303666

GCD(946, 321) = ( 946 x 321 ) / 303666

GCD(946, 321) = 303666 / 303666

GCD(946, 321) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 946, 321, 87, 766 is 1

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1. What is the GCD of 946, 321, 87, 766?

GCD of 946, 321, 87, 766 is 1

2. Where do I get the detailed procedure to find GCD of 946, 321, 87, 766?

You can find a detailed procedure to find GCD of 946, 321, 87, 766 on our page.

3. How to find GCD of 946, 321, 87, 766 on a calculator?

You can find the GCD of 946, 321, 87, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.