GCD of 965, 361, 58, 354 Calculator

Given Input numbers are 965, 361, 58, 354

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

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

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 965, 361, 58, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 361, 58, 354 is 1.

Therefore, GCD of numbers 965, 361, 58, 354 is 1

Given Input Data is 965, 361, 58, 354

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

Prime Factorization of 965 is 5 x 193

Prime Factorization of 361 is 19 x 19

Prime Factorization of 58 is 2 x 29

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(965, 361) = 348365

GCD(965, 361) = ( 965 x 361 ) / 348365

GCD(965, 361) = 348365 / 348365

GCD(965, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 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 965, 361, 58, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 278, 54, 994
• GCD of 794, 235, 30, 598
• GCD of 717, 151, 91, 659
• GCD of 355, 208, 93, 256
• GCD of 189, 248, 43, 253

1. What is the GCD of 965, 361, 58, 354?

GCD of 965, 361, 58, 354 is 1

2. Where do I get the detailed procedure to find GCD of 965, 361, 58, 354?

You can find a detailed procedure to find GCD of 965, 361, 58, 354 on our page.

3. How to find GCD of 965, 361, 58, 354 on a calculator?

You can find the GCD of 965, 361, 58, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.