GCD of 310, 120, 357, 889 Calculator

Given Input numbers are 310, 120, 357, 889

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 310, 120, 357, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 120, 357, 889 is 1.

Therefore, GCD of numbers 310, 120, 357, 889 is 1

Given Input Data is 310, 120, 357, 889

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 889 is 7 x 127

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(310, 120) = 3720

GCD(310, 120) = ( 310 x 120 ) / 3720

GCD(310, 120) = 37200 / 3720

GCD(310, 120) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 357

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

LCM(10, 357) = 3570

GCD(10, 357) = ( 10 x 357 ) / 3570

GCD(10, 357) = 3570 / 3570

GCD(10, 357) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

GCD of 310, 120, 357, 889 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 788, 931, 821
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1. What is the GCD of 310, 120, 357, 889?

GCD of 310, 120, 357, 889 is 1

2. Where do I get the detailed procedure to find GCD of 310, 120, 357, 889?

You can find a detailed procedure to find GCD of 310, 120, 357, 889 on our page.

3. How to find GCD of 310, 120, 357, 889 on a calculator?

You can find the GCD of 310, 120, 357, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.