GCD of 354, 857, 90, 370 Calculator

Given Input numbers are 354, 857, 90, 370

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 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 354, 857, 90, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 857, 90, 370 is 1.

Therefore, GCD of numbers 354, 857, 90, 370 is 1

Given Input Data is 354, 857, 90, 370

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 857 is 857

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 370 is 2 x 5 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, 857) = 303378

GCD(354, 857) = ( 354 x 857 ) / 303378

GCD(354, 857) = 303378 / 303378

GCD(354, 857) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 354, 857, 90, 370 is 1

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1. What is the GCD of 354, 857, 90, 370?

GCD of 354, 857, 90, 370 is 1

2. Where do I get the detailed procedure to find GCD of 354, 857, 90, 370?

You can find a detailed procedure to find GCD of 354, 857, 90, 370 on our page.

3. How to find GCD of 354, 857, 90, 370 on a calculator?

You can find the GCD of 354, 857, 90, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.