GCD of 172, 148, 54, 675 Calculator

Given Input numbers are 172, 148, 54, 675

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

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 54 :

The positive integer divisors of 54 that completely divides 54 are.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (172, 148, 54, 675) = 1.

Given numbers are 172, 148, 54, 675

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 148 are 2 x 2 x 37

Prime factors of 54 are 2 x 3 x 3 x 3

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Given numbers are 172, 148, 54, 675

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

Apply this formula for all numbers.

Step1:

LCM(172, 148) = 6364

GCD(172, 148) = ( 172 x 148 ) / 6364

= 172 / 148

= 172

Step2:

LCM(4, 54) = 108

GCD(4, 54) = ( 4 x 54 ) / 108

= 4 / 54

= 4

Step3:

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

= 2 / 675

= 2

So, Greatest Common Divisor of 172, 148, 54, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 275, 45, 299
• GCD of 480, 633, 31, 218
• GCD of 896, 489, 76, 297
• GCD of 333, 367, 18, 928
• GCD of 122, 698, 12, 872

Given numbers are 172, 148, 54, 675
The greatest common divisor of numbers 172, 148, 54, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 148, 54, 675 is 1.

1. What is the GCD of 172, 148, 54, 675?

GCD of given numbers 172, 148, 54, 675 is 1

2. How to calculate the greatest common divisor of 172, 148, 54, 675?

We can find the highest common divisor of 172, 148, 54, 675 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 172, 148, 54, 675 i.e 1.

3. How can I use the GCD of 172, 148, 54, 675Calculator?

Out the numbers 172, 148, 54, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.