GCD of 354, 119, 85, 922 Calculator

Given Input numbers are 354, 119, 85, 922

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 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 354, 119, 85, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 119, 85, 922 is 1.

Therefore, GCD of numbers 354, 119, 85, 922 is 1

Given Input Data is 354, 119, 85, 922

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 119 is 7 x 17

Prime Factorization of 85 is 5 x 17

Prime Factorization of 922 is 2 x 461

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, 119) = 42126

GCD(354, 119) = ( 354 x 119 ) / 42126

GCD(354, 119) = 42126 / 42126

GCD(354, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

GCD of 354, 119, 85, 922 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 337, 99, 732
• GCD of 424, 109, 90, 612
• GCD of 462, 368, 59, 850
• GCD of 860, 220, 10, 638
• GCD of 198, 480, 47, 459

1. What is the GCD of 354, 119, 85, 922?

GCD of 354, 119, 85, 922 is 1

2. Where do I get the detailed procedure to find GCD of 354, 119, 85, 922?

You can find a detailed procedure to find GCD of 354, 119, 85, 922 on our page.

3. How to find GCD of 354, 119, 85, 922 on a calculator?

You can find the GCD of 354, 119, 85, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.