GCD of 854, 675, 75, 718 Calculator

Given Input numbers are 854, 675, 75, 718

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

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 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 854, 675, 75, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 675, 75, 718 is 1.

Therefore, GCD of numbers 854, 675, 75, 718 is 1

Given Input Data is 854, 675, 75, 718

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

Prime Factorization of 854 is 2 x 7 x 61

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 718 is 2 x 359

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(854, 675) = 576450

GCD(854, 675) = ( 854 x 675 ) / 576450

GCD(854, 675) = 576450 / 576450

GCD(854, 675) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 718

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

LCM(1, 718) = 718

GCD(1, 718) = ( 1 x 718 ) / 718

GCD(1, 718) = 718 / 718

GCD(1, 718) = 1

GCD of 854, 675, 75, 718 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 209, 91, 297
• GCD of 427, 310, 38, 548
• GCD of 606, 871, 45, 807
• GCD of 713, 459, 29, 822
• GCD of 454, 928, 24, 104

1. What is the GCD of 854, 675, 75, 718?

GCD of 854, 675, 75, 718 is 1

2. Where do I get the detailed procedure to find GCD of 854, 675, 75, 718?

You can find a detailed procedure to find GCD of 854, 675, 75, 718 on our page.

3. How to find GCD of 854, 675, 75, 718 on a calculator?

You can find the GCD of 854, 675, 75, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.