GCD of 225, 172, 687 Calculator

Given Input numbers are 225, 172, 687

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 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (225, 172, 687) = 1.

Given numbers are 225, 172, 687

The list of prime factors of all numbers are

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

Prime factors of 172 are 2 x 2 x 43

Prime factors of 687 are 3 x 229

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

Given numbers are 225, 172, 687

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

Apply this formula for all numbers.

Step1:

LCM(225, 172) = 38700

GCD(225, 172) = ( 225 x 172 ) / 38700

= 225 / 172

= 225

Step2:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

So, Greatest Common Divisor of 225, 172, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 602, 889
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• GCD of 897, 976, 413
• GCD of 895, 956, 628
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Given numbers are 225, 172, 687
The greatest common divisor of numbers 225, 172, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 172, 687 is 1.

1. What is the GCD of 225, 172, 687?

GCD of given numbers 225, 172, 687 is 1

2. How to calculate the greatest common divisor of 225, 172, 687?

We can find the highest common divisor of 225, 172, 687 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, 172, 687 i.e 1.

3. How can I use the GCD of 225, 172, 687Calculator?

Out the numbers 225, 172, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.