GCD of 835, 756, 989, 354 Calculator

Given Input numbers are 835, 756, 989, 354

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

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 835, 756, 989, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 835, 756, 989, 354 is 1.

Therefore, GCD of numbers 835, 756, 989, 354 is 1

Given Input Data is 835, 756, 989, 354

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

Prime Factorization of 835 is 5 x 167

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 989 is 23 x 43

Prime Factorization of 354 is 2 x 3 x 59

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(835, 756) = 631260

GCD(835, 756) = ( 835 x 756 ) / 631260

GCD(835, 756) = 631260 / 631260

GCD(835, 756) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 835, 756, 989, 354 is 1

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1. What is the GCD of 835, 756, 989, 354?

GCD of 835, 756, 989, 354 is 1

2. Where do I get the detailed procedure to find GCD of 835, 756, 989, 354?

You can find a detailed procedure to find GCD of 835, 756, 989, 354 on our page.

3. How to find GCD of 835, 756, 989, 354 on a calculator?

You can find the GCD of 835, 756, 989, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.