GCD of 319, 354, 869, 959 Calculator

Given Input numbers are 319, 354, 869, 959

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

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 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 319, 354, 869, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 354, 869, 959 is 1.

Therefore, GCD of numbers 319, 354, 869, 959 is 1

Given Input Data is 319, 354, 869, 959

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 869 is 11 x 79

Prime Factorization of 959 is 7 x 137

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(319, 354) = 112926

GCD(319, 354) = ( 319 x 354 ) / 112926

GCD(319, 354) = 112926 / 112926

GCD(319, 354) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 319, 354, 869, 959 is 1

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1. What is the GCD of 319, 354, 869, 959?

GCD of 319, 354, 869, 959 is 1

2. Where do I get the detailed procedure to find GCD of 319, 354, 869, 959?

You can find a detailed procedure to find GCD of 319, 354, 869, 959 on our page.

3. How to find GCD of 319, 354, 869, 959 on a calculator?

You can find the GCD of 319, 354, 869, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.