GCD of 310, 755, 90, 857 Calculator

Given Input numbers are 310, 755, 90, 857

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 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

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 857

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

1, 857

Greatest Common Divisior

We found the divisors of 310, 755, 90, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 755, 90, 857 is 1.

Therefore, GCD of numbers 310, 755, 90, 857 is 1

Given Input Data is 310, 755, 90, 857

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 755 is 5 x 151

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

Prime Factorization of 857 is 857

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, 755) = 46810

GCD(310, 755) = ( 310 x 755 ) / 46810

GCD(310, 755) = 234050 / 46810

GCD(310, 755) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 90

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

LCM(5, 90) = 90

GCD(5, 90) = ( 5 x 90 ) / 90

GCD(5, 90) = 450 / 90

GCD(5, 90) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 857

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

LCM(5, 857) = 4285

GCD(5, 857) = ( 5 x 857 ) / 4285

GCD(5, 857) = 4285 / 4285

GCD(5, 857) = 1

GCD of 310, 755, 90, 857 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 740, 33, 751
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• GCD of 118, 978, 74, 469

1. What is the GCD of 310, 755, 90, 857?

GCD of 310, 755, 90, 857 is 1

2. Where do I get the detailed procedure to find GCD of 310, 755, 90, 857?

You can find a detailed procedure to find GCD of 310, 755, 90, 857 on our page.

3. How to find GCD of 310, 755, 90, 857 on a calculator?

You can find the GCD of 310, 755, 90, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.