GCD of 525, 135, 78, 723 Calculator

Given Input numbers are 525, 135, 78, 723

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 525, 135, 78, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 135, 78, 723 is 3.

Therefore, GCD of numbers 525, 135, 78, 723 is 3

Given Input Data is 525, 135, 78, 723

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 723 is 3 x 241

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(525, 135) = 4725

GCD(525, 135) = ( 525 x 135 ) / 4725

GCD(525, 135) = 70875 / 4725

GCD(525, 135) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 78

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

LCM(15, 78) = 390

GCD(15, 78) = ( 15 x 78 ) / 390

GCD(15, 78) = 1170 / 390

GCD(15, 78) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 723

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

LCM(3, 723) = 723

GCD(3, 723) = ( 3 x 723 ) / 723

GCD(3, 723) = 2169 / 723

GCD(3, 723) = 3

GCD of 525, 135, 78, 723 is 3

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• GCD of 622, 798, 86, 784
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• GCD of 381, 825, 46, 223

1. What is the GCD of 525, 135, 78, 723?

GCD of 525, 135, 78, 723 is 3

2. Where do I get the detailed procedure to find GCD of 525, 135, 78, 723?

You can find a detailed procedure to find GCD of 525, 135, 78, 723 on our page.

3. How to find GCD of 525, 135, 78, 723 on a calculator?

You can find the GCD of 525, 135, 78, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.