GCD of 225, 114, 156, 725 Calculator

Given Input numbers are 225, 114, 156, 725

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 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

GCD of numbers is the greatest common divisor

So, the GCD (225, 114, 156, 725) = 1.

Given numbers are 225, 114, 156, 725

The list of prime factors of all numbers are

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

Prime factors of 114 are 2 x 3 x 19

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 725 are 5 x 5 x 29

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

Given numbers are 225, 114, 156, 725

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

Apply this formula for all numbers.

Step1:

LCM(225, 114) = 8550

GCD(225, 114) = ( 225 x 114 ) / 8550

= 225 / 114

= 225

Step2:

LCM(3, 156) = 156

GCD(3, 156) = ( 3 x 156 ) / 156

= 3 / 156

= 3

Step3:

LCM(3, 725) = 2175

GCD(3, 725) = ( 3 x 725 ) / 2175

= 3 / 725

= 3

So, Greatest Common Divisor of 225, 114, 156, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 142, 552, 624
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Given numbers are 225, 114, 156, 725
The greatest common divisor of numbers 225, 114, 156, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 114, 156, 725 is 1.

1. What is the GCD of 225, 114, 156, 725?

GCD of given numbers 225, 114, 156, 725 is 1

2. How to calculate the greatest common divisor of 225, 114, 156, 725?

We can find the highest common divisor of 225, 114, 156, 725 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, 114, 156, 725 i.e 1.

3. How can I use the GCD of 225, 114, 156, 725Calculator?

Out the numbers 225, 114, 156, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.