GCD of 675, 719, 914, 312 Calculator

Given Input numbers are 675, 719, 914, 312

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 914

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

1, 2, 457, 914

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 675, 719, 914, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 719, 914, 312 is 1.

Therefore, GCD of numbers 675, 719, 914, 312 is 1

Given Input Data is 675, 719, 914, 312

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 719 is 719

Prime Factorization of 914 is 2 x 457

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(675, 719) = 485325

GCD(675, 719) = ( 675 x 719 ) / 485325

GCD(675, 719) = 485325 / 485325

GCD(675, 719) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 675, 719, 914, 312 is 1

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1. What is the GCD of 675, 719, 914, 312?

GCD of 675, 719, 914, 312 is 1

2. Where do I get the detailed procedure to find GCD of 675, 719, 914, 312?

You can find a detailed procedure to find GCD of 675, 719, 914, 312 on our page.

3. How to find GCD of 675, 719, 914, 312 on a calculator?

You can find the GCD of 675, 719, 914, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.