GCD of 225, 102, 664, 138 Calculator

Given Input numbers are 225, 102, 664, 138

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 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (225, 102, 664, 138) = 1.

Given numbers are 225, 102, 664, 138

The list of prime factors of all numbers are

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

Prime factors of 102 are 2 x 3 x 17

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 225, 102, 664, 138

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

Apply this formula for all numbers.

Step1:

LCM(225, 102) = 7650

GCD(225, 102) = ( 225 x 102 ) / 7650

= 225 / 102

= 225

Step2:

LCM(3, 664) = 1992

GCD(3, 664) = ( 3 x 664 ) / 1992

= 3 / 664

= 3

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 225, 102, 664, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 561, 272, 281
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Given numbers are 225, 102, 664, 138
The greatest common divisor of numbers 225, 102, 664, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 102, 664, 138 is 1.

1. What is the GCD of 225, 102, 664, 138?

GCD of given numbers 225, 102, 664, 138 is 1

2. How to calculate the greatest common divisor of 225, 102, 664, 138?

We can find the highest common divisor of 225, 102, 664, 138 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, 102, 664, 138 i.e 1.

3. How can I use the GCD of 225, 102, 664, 138Calculator?

Out the numbers 225, 102, 664, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.