GCD of 267, 972, 174, 468 Calculator

Given Input numbers are 267, 972, 174, 468

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

Divisors of 267 :

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

1, 3, 89, 267

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 174 :

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

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (267, 972, 174, 468) = 3.

Given numbers are 267, 972, 174, 468

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 174 are 2 x 3 x 29

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 267, 972, 174, 468 is 3.

Given numbers are 267, 972, 174, 468

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

Apply this formula for all numbers.

Step1:

LCM(267, 972) = 86508

GCD(267, 972) = ( 267 x 972 ) / 86508

= 267 / 972

= 267

Step2:

LCM(3, 174) = 174

GCD(3, 174) = ( 3 x 174 ) / 174

= 3 / 174

= 3

Step3:

LCM(3, 468) = 468

GCD(3, 468) = ( 3 x 468 ) / 468

= 3 / 468

= 3

So, Greatest Common Divisor of 267, 972, 174, 468 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 207, 447, 449
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• GCD of 849, 885, 332, 168
• GCD of 831, 885, 841, 494

Given numbers are 267, 972, 174, 468
The greatest common divisor of numbers 267, 972, 174, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 972, 174, 468 is 3.

1. What is the GCD of 267, 972, 174, 468?

GCD of given numbers 267, 972, 174, 468 is 3

2. How to calculate the greatest common divisor of 267, 972, 174, 468?

We can find the highest common divisor of 267, 972, 174, 468 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 267, 972, 174, 468 i.e 3.

3. How can I use the GCD of 267, 972, 174, 468Calculator?

Out the numbers 267, 972, 174, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.