GCD of 175, 720, 775 Calculator

Given Input numbers are 175, 720, 775

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

Divisors of 175

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

1, 5, 7, 25, 35, 175

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 175, 720, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 720, 775 is 5.

Therefore, GCD of numbers 175, 720, 775 is 5

Given Input Data is 175, 720, 775

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

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 775 is 5 x 5 x 31

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(175, 720) = 25200

GCD(175, 720) = ( 175 x 720 ) / 25200

GCD(175, 720) = 126000 / 25200

GCD(175, 720) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 775

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

LCM(5, 775) = 775

GCD(5, 775) = ( 5 x 775 ) / 775

GCD(5, 775) = 3875 / 775

GCD(5, 775) = 5

GCD of 175, 720, 775 is 5

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• GCD of 784, 202, 577
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1. What is the GCD of 175, 720, 775?

GCD of 175, 720, 775 is 5

2. Where do I get the detailed procedure to find GCD of 175, 720, 775?

You can find a detailed procedure to find GCD of 175, 720, 775 on our page.

3. How to find GCD of 175, 720, 775 on a calculator?

You can find the GCD of 175, 720, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.