GCD of 85, 875, 830, 900 Calculator

Given Input numbers are 85, 875, 830, 900

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 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 85, 875, 830, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 875, 830, 900 is 5.

Therefore, GCD of numbers 85, 875, 830, 900 is 5

Given Input Data is 85, 875, 830, 900

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(85, 875) = 14875

GCD(85, 875) = ( 85 x 875 ) / 14875

GCD(85, 875) = 74375 / 14875

GCD(85, 875) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 830

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

LCM(5, 830) = 830

GCD(5, 830) = ( 5 x 830 ) / 830

GCD(5, 830) = 4150 / 830

GCD(5, 830) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 900

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

LCM(5, 900) = 900

GCD(5, 900) = ( 5 x 900 ) / 900

GCD(5, 900) = 4500 / 900

GCD(5, 900) = 5

GCD of 85, 875, 830, 900 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 433, 155, 174
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• GCD of 34, 793, 648, 474

1. What is the GCD of 85, 875, 830, 900?

GCD of 85, 875, 830, 900 is 5

2. Where do I get the detailed procedure to find GCD of 85, 875, 830, 900?

You can find a detailed procedure to find GCD of 85, 875, 830, 900 on our page.

3. How to find GCD of 85, 875, 830, 900 on a calculator?

You can find the GCD of 85, 875, 830, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.