GCD of 225, 338, 501, 825 Calculator

Given Input numbers are 225, 338, 501, 825

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

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

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

GCD of numbers is the greatest common divisor

So, the GCD (225, 338, 501, 825) = 1.

Given numbers are 225, 338, 501, 825

The list of prime factors of all numbers are

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 338 are 2 x 13 x 13

Prime factors of 501 are 3 x 167

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

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

Given numbers are 225, 338, 501, 825

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

Apply this formula for all numbers.

Step1:

LCM(225, 338) = 76050

GCD(225, 338) = ( 225 x 338 ) / 76050

= 225 / 338

= 225

Step2:

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

= 1 / 501

= 1

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 225, 338, 501, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 976, 676, 712
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Given numbers are 225, 338, 501, 825
The greatest common divisor of numbers 225, 338, 501, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 338, 501, 825 is 1.

1. What is the GCD of 225, 338, 501, 825?

GCD of given numbers 225, 338, 501, 825 is 1

2. How to calculate the greatest common divisor of 225, 338, 501, 825?

We can find the highest common divisor of 225, 338, 501, 825 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 225, 338, 501, 825 i.e 1.

3. How can I use the GCD of 225, 338, 501, 825Calculator?

Out the numbers 225, 338, 501, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.