GCD of 675, 615, 780, 875 Calculator

Given Input numbers are 675, 615, 780, 875

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 875

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

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

Greatest Common Divisior

We found the divisors of 675, 615, 780, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 615, 780, 875 is 5.

Therefore, GCD of numbers 675, 615, 780, 875 is 5

Given Input Data is 675, 615, 780, 875

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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

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(675, 615) = 27675

GCD(675, 615) = ( 675 x 615 ) / 27675

GCD(675, 615) = 415125 / 27675

GCD(675, 615) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 780

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

LCM(15, 780) = 780

GCD(15, 780) = ( 15 x 780 ) / 780

GCD(15, 780) = 11700 / 780

GCD(15, 780) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 875

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

LCM(15, 875) = 2625

GCD(15, 875) = ( 15 x 875 ) / 2625

GCD(15, 875) = 13125 / 2625

GCD(15, 875) = 5

GCD of 675, 615, 780, 875 is 5

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1. What is the GCD of 675, 615, 780, 875?

GCD of 675, 615, 780, 875 is 5

2. Where do I get the detailed procedure to find GCD of 675, 615, 780, 875?

You can find a detailed procedure to find GCD of 675, 615, 780, 875 on our page.

3. How to find GCD of 675, 615, 780, 875 on a calculator?

You can find the GCD of 675, 615, 780, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.