GCD of 174, 267, 99, 270 Calculator

Given Input numbers are 174, 267, 99, 270

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

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 99 :

The positive integer divisors of 99 that completely divides 99 are.

1, 3, 9, 11, 33, 99

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (174, 267, 99, 270) = 3.

Given numbers are 174, 267, 99, 270

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 267 are 3 x 89

Prime factors of 99 are 3 x 3 x 11

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 174, 267, 99, 270 is 3.

Given numbers are 174, 267, 99, 270

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

Apply this formula for all numbers.

Step1:

LCM(174, 267) = 15486

GCD(174, 267) = ( 174 x 267 ) / 15486

= 174 / 267

= 174

Step2:

LCM(3, 99) = 99

GCD(3, 99) = ( 3 x 99 ) / 99

= 3 / 99

= 3

Step3:

LCM(3, 270) = 270

GCD(3, 270) = ( 3 x 270 ) / 270

= 3 / 270

= 3

So, Greatest Common Divisor of 174, 267, 99, 270 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 793, 20, 451
• GCD of 607, 980, 53, 161
• GCD of 978, 770, 80, 770
• GCD of 385, 850, 84, 546
• GCD of 940, 121, 48, 389

Given numbers are 174, 267, 99, 270
The greatest common divisor of numbers 174, 267, 99, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 267, 99, 270 is 3.

1. What is the GCD of 174, 267, 99, 270?

GCD of given numbers 174, 267, 99, 270 is 3

2. How to calculate the greatest common divisor of 174, 267, 99, 270?

We can find the highest common divisor of 174, 267, 99, 270 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 174, 267, 99, 270 i.e 3.

3. How can I use the GCD of 174, 267, 99, 270Calculator?

Out the numbers 174, 267, 99, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.