GCD of 225, 483, 456, 147 Calculator

Given Input numbers are 225, 483, 456, 147

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 483 :

The positive integer divisors of 483 that completely divides 483 are.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (225, 483, 456, 147) = 3.

Given numbers are 225, 483, 456, 147

The list of prime factors of all numbers are

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

Prime factors of 483 are 3 x 7 x 23

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 147 are 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 225, 483, 456, 147 is 3.

Given numbers are 225, 483, 456, 147

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

Apply this formula for all numbers.

Step1:

LCM(225, 483) = 36225

GCD(225, 483) = ( 225 x 483 ) / 36225

= 225 / 483

= 225

Step2:

LCM(3, 456) = 456

GCD(3, 456) = ( 3 x 456 ) / 456

= 3 / 456

= 3

Step3:

LCM(3, 147) = 147

GCD(3, 147) = ( 3 x 147 ) / 147

= 3 / 147

= 3

So, Greatest Common Divisor of 225, 483, 456, 147 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 283, 885, 648
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• GCD of 483, 456, 105, 780
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Given numbers are 225, 483, 456, 147
The greatest common divisor of numbers 225, 483, 456, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 483, 456, 147 is 3.

1. What is the GCD of 225, 483, 456, 147?

GCD of given numbers 225, 483, 456, 147 is 3

2. How to calculate the greatest common divisor of 225, 483, 456, 147?

We can find the highest common divisor of 225, 483, 456, 147 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, 483, 456, 147 i.e 3.

3. How can I use the GCD of 225, 483, 456, 147Calculator?

Out the numbers 225, 483, 456, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.