GCD of 985, 175, 30, 485 Calculator

Given Input numbers are 985, 175, 30, 485

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

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Greatest Common Divisior

We found the divisors of 985, 175, 30, 485 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 985, 175, 30, 485 is 5.

Therefore, GCD of numbers 985, 175, 30, 485 is 5

Given Input Data is 985, 175, 30, 485

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

Prime Factorization of 985 is 5 x 197

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 485 is 5 x 97

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(985, 175) = 34475

GCD(985, 175) = ( 985 x 175 ) / 34475

GCD(985, 175) = 172375 / 34475

GCD(985, 175) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 30

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

LCM(5, 30) = 30

GCD(5, 30) = ( 5 x 30 ) / 30

GCD(5, 30) = 150 / 30

GCD(5, 30) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 485

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

LCM(5, 485) = 485

GCD(5, 485) = ( 5 x 485 ) / 485

GCD(5, 485) = 2425 / 485

GCD(5, 485) = 5

GCD of 985, 175, 30, 485 is 5

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1. What is the GCD of 985, 175, 30, 485?

GCD of 985, 175, 30, 485 is 5

2. Where do I get the detailed procedure to find GCD of 985, 175, 30, 485?

You can find a detailed procedure to find GCD of 985, 175, 30, 485 on our page.

3. How to find GCD of 985, 175, 30, 485 on a calculator?

You can find the GCD of 985, 175, 30, 485 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.