GCD of 374, 766, 465, 807 Calculator

Given Input numbers are 374, 766, 465, 807

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 766

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

1, 2, 383, 766

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 374, 766, 465, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 766, 465, 807 is 1.

Therefore, GCD of numbers 374, 766, 465, 807 is 1

Given Input Data is 374, 766, 465, 807

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 766 is 2 x 383

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 807 is 3 x 269

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(374, 766) = 143242

GCD(374, 766) = ( 374 x 766 ) / 143242

GCD(374, 766) = 286484 / 143242

GCD(374, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 465

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

LCM(2, 465) = 930

GCD(2, 465) = ( 2 x 465 ) / 930

GCD(2, 465) = 930 / 930

GCD(2, 465) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

GCD of 374, 766, 465, 807 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 374, 766, 465, 807?

GCD of 374, 766, 465, 807 is 1

2. Where do I get the detailed procedure to find GCD of 374, 766, 465, 807?

You can find a detailed procedure to find GCD of 374, 766, 465, 807 on our page.

3. How to find GCD of 374, 766, 465, 807 on a calculator?

You can find the GCD of 374, 766, 465, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.