GCD of 825, 285, 528, 713 Calculator

Given Input numbers are 825, 285, 528, 713

In the factoring method, we have to find the divisors of all numbers

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

GCD of numbers is the greatest common divisor

So, the GCD (825, 285, 528, 713) = 1.

Given numbers are 825, 285, 528, 713

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 285 are 3 x 5 x 19

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 713 are 23 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 825, 285, 528, 713

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(825, 285) = 15675

GCD(825, 285) = ( 825 x 285 ) / 15675

= 825 / 285

= 825

Step2:

LCM(15, 528) = 2640

GCD(15, 528) = ( 15 x 528 ) / 2640

= 15 / 528

= 15

Step3:

LCM(3, 713) = 2139

GCD(3, 713) = ( 3 x 713 ) / 2139

= 3 / 713

= 3

So, Greatest Common Divisor of 825, 285, 528, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 443, 750, 183
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• GCD of 385, 195, 738, 945

Given numbers are 825, 285, 528, 713
The greatest common divisor of numbers 825, 285, 528, 713 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 285, 528, 713 is 1.

1. What is the GCD of 825, 285, 528, 713?

GCD of given numbers 825, 285, 528, 713 is 1

2. How to calculate the greatest common divisor of 825, 285, 528, 713?

We can find the highest common divisor of 825, 285, 528, 713 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 825, 285, 528, 713 i.e 1.

3. How can I use the GCD of 825, 285, 528, 713Calculator?

Out the numbers 825, 285, 528, 713 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.