GCD of 989, 172, 578, 225 Calculator

Given Input numbers are 989, 172, 578, 225

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

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 225 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (989, 172, 578, 225) = 1.

Given numbers are 989, 172, 578, 225

The list of prime factors of all numbers are

Prime factors of 989 are 23 x 43

Prime factors of 172 are 2 x 2 x 43

Prime factors of 578 are 2 x 17 x 17

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

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

Given numbers are 989, 172, 578, 225

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

Apply this formula for all numbers.

Step1:

LCM(989, 172) = 3956

GCD(989, 172) = ( 989 x 172 ) / 3956

= 989 / 172

= 989

Step2:

LCM(43, 578) = 24854

GCD(43, 578) = ( 43 x 578 ) / 24854

= 43 / 578

= 43

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 989, 172, 578, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 441, 611, 571
• GCD of 641, 364, 833, 677
• GCD of 421, 747, 163, 329
• GCD of 512, 613, 722, 622
• GCD of 787, 352, 422, 504

Given numbers are 989, 172, 578, 225
The greatest common divisor of numbers 989, 172, 578, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 172, 578, 225 is 1.

1. What is the GCD of 989, 172, 578, 225?

GCD of given numbers 989, 172, 578, 225 is 1

2. How to calculate the greatest common divisor of 989, 172, 578, 225?

We can find the highest common divisor of 989, 172, 578, 225 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 989, 172, 578, 225 i.e 1.

3. How can I use the GCD of 989, 172, 578, 225Calculator?

Out the numbers 989, 172, 578, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.