GCD of 354, 146, 979, 851 Calculator

Given Input numbers are 354, 146, 979, 851

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

Divisors of 354

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

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Greatest Common Divisior

We found the divisors of 354, 146, 979, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 146, 979, 851 is 1.

Therefore, GCD of numbers 354, 146, 979, 851 is 1

Given Input Data is 354, 146, 979, 851

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 146 is 2 x 73

Prime Factorization of 979 is 11 x 89

Prime Factorization of 851 is 23 x 37

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(354, 146) = 25842

GCD(354, 146) = ( 354 x 146 ) / 25842

GCD(354, 146) = 51684 / 25842

GCD(354, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 979

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

LCM(2, 979) = 1958

GCD(2, 979) = ( 2 x 979 ) / 1958

GCD(2, 979) = 1958 / 1958

GCD(2, 979) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 851

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

LCM(1, 851) = 851

GCD(1, 851) = ( 1 x 851 ) / 851

GCD(1, 851) = 851 / 851

GCD(1, 851) = 1

GCD of 354, 146, 979, 851 is 1

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1. What is the GCD of 354, 146, 979, 851?

GCD of 354, 146, 979, 851 is 1

2. Where do I get the detailed procedure to find GCD of 354, 146, 979, 851?

You can find a detailed procedure to find GCD of 354, 146, 979, 851 on our page.

3. How to find GCD of 354, 146, 979, 851 on a calculator?

You can find the GCD of 354, 146, 979, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.