GCD of 854, 997, 75, 802 Calculator

Given Input numbers are 854, 997, 75, 802

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 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 854, 997, 75, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 997, 75, 802 is 1.

Therefore, GCD of numbers 854, 997, 75, 802 is 1

Given Input Data is 854, 997, 75, 802

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 997 is 997

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 802 is 2 x 401

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, 997) = 851438

GCD(854, 997) = ( 854 x 997 ) / 851438

GCD(854, 997) = 851438 / 851438

GCD(854, 997) = 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 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 854, 997, 75, 802 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 763, 98, 589
• GCD of 390, 223, 63, 176
• GCD of 564, 555, 53, 559
• GCD of 455, 493, 93, 157
• GCD of 416, 473, 37, 738

1. What is the GCD of 854, 997, 75, 802?

GCD of 854, 997, 75, 802 is 1

2. Where do I get the detailed procedure to find GCD of 854, 997, 75, 802?

You can find a detailed procedure to find GCD of 854, 997, 75, 802 on our page.

3. How to find GCD of 854, 997, 75, 802 on a calculator?

You can find the GCD of 854, 997, 75, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.