GCD of 85, 160, 798, 358 Calculator

Given Input numbers are 85, 160, 798, 358

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

Divisors of 85

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

1, 5, 17, 85

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 85, 160, 798, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 160, 798, 358 is 1.

Therefore, GCD of numbers 85, 160, 798, 358 is 1

Given Input Data is 85, 160, 798, 358

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 358 is 2 x 179

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(85, 160) = 2720

GCD(85, 160) = ( 85 x 160 ) / 2720

GCD(85, 160) = 13600 / 2720

GCD(85, 160) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 798

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

LCM(5, 798) = 3990

GCD(5, 798) = ( 5 x 798 ) / 3990

GCD(5, 798) = 3990 / 3990

GCD(5, 798) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 85, 160, 798, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 893, 176, 998
• GCD of 78, 159, 788, 822
• GCD of 59, 106, 833, 657
• GCD of 56, 678, 422, 630
• GCD of 70, 244, 775, 454

1. What is the GCD of 85, 160, 798, 358?

GCD of 85, 160, 798, 358 is 1

2. Where do I get the detailed procedure to find GCD of 85, 160, 798, 358?

You can find a detailed procedure to find GCD of 85, 160, 798, 358 on our page.

3. How to find GCD of 85, 160, 798, 358 on a calculator?

You can find the GCD of 85, 160, 798, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.