GCD of 267, 912, 38, 689 Calculator

Given Input numbers are 267, 912, 38, 689

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 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (267, 912, 38, 689) = 1.

Given numbers are 267, 912, 38, 689

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 38 are 2 x 19

Prime factors of 689 are 13 x 53

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

Given numbers are 267, 912, 38, 689

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

Apply this formula for all numbers.

Step1:

LCM(267, 912) = 81168

GCD(267, 912) = ( 267 x 912 ) / 81168

= 267 / 912

= 267

Step2:

LCM(3, 38) = 114

GCD(3, 38) = ( 3 x 38 ) / 114

= 3 / 38

= 3

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 267, 912, 38, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 925, 36, 836
• GCD of 596, 146, 59, 419
• GCD of 430, 970, 10, 558
• GCD of 710, 544, 74, 698
• GCD of 274, 604, 36, 625

Given numbers are 267, 912, 38, 689
The greatest common divisor of numbers 267, 912, 38, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 912, 38, 689 is 1.

1. What is the GCD of 267, 912, 38, 689?

GCD of given numbers 267, 912, 38, 689 is 1

2. How to calculate the greatest common divisor of 267, 912, 38, 689?

We can find the highest common divisor of 267, 912, 38, 689 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, 912, 38, 689 i.e 1.

3. How can I use the GCD of 267, 912, 38, 689Calculator?

Out the numbers 267, 912, 38, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.