GCD of 169, 267, 112, 312 Calculator

Given Input numbers are 169, 267, 112, 312

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

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 267 :

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

1, 3, 89, 267

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (169, 267, 112, 312) = 1.

Given numbers are 169, 267, 112, 312

The list of prime factors of all numbers are

Prime factors of 169 are 13 x 13

Prime factors of 267 are 3 x 89

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Given numbers are 169, 267, 112, 312

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

Apply this formula for all numbers.

Step1:

LCM(169, 267) = 45123

GCD(169, 267) = ( 169 x 267 ) / 45123

= 169 / 267

= 169

Step2:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 169, 267, 112, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 519, 502, 378
• GCD of 384, 124, 531, 110
• GCD of 423, 894, 271, 753
• GCD of 912, 843, 377, 243
• GCD of 833, 896, 677, 653

Given numbers are 169, 267, 112, 312
The greatest common divisor of numbers 169, 267, 112, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 169, 267, 112, 312 is 1.

1. What is the GCD of 169, 267, 112, 312?

GCD of given numbers 169, 267, 112, 312 is 1

2. How to calculate the greatest common divisor of 169, 267, 112, 312?

We can find the highest common divisor of 169, 267, 112, 312 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 169, 267, 112, 312 i.e 1.

3. How can I use the GCD of 169, 267, 112, 312Calculator?

Out the numbers 169, 267, 112, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.