GCD of 261, 267, 23, 600 Calculator

Given Input numbers are 261, 267, 23, 600

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

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 267 :

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

1, 3, 89, 267

Divisors of 23 :

The positive integer divisors of 23 that completely divides 23 are.

1, 23

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (261, 267, 23, 600) = 1.

Given numbers are 261, 267, 23, 600

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 267 are 3 x 89

Prime factors of 23 are 23

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Given numbers are 261, 267, 23, 600

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

Apply this formula for all numbers.

Step1:

LCM(261, 267) = 23229

GCD(261, 267) = ( 261 x 267 ) / 23229

= 261 / 267

= 261

Step2:

LCM(3, 23) = 69

GCD(3, 23) = ( 3 x 23 ) / 69

= 3 / 23

= 3

Step3:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

So, Greatest Common Divisor of 261, 267, 23, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 963, 95, 684
• GCD of 608, 256, 74, 161
• GCD of 448, 608, 53, 767
• GCD of 189, 240, 63, 943
• GCD of 488, 618, 32, 280

Given numbers are 261, 267, 23, 600
The greatest common divisor of numbers 261, 267, 23, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 267, 23, 600 is 1.

1. What is the GCD of 261, 267, 23, 600?

GCD of given numbers 261, 267, 23, 600 is 1

2. How to calculate the greatest common divisor of 261, 267, 23, 600?

We can find the highest common divisor of 261, 267, 23, 600 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 261, 267, 23, 600 i.e 1.

3. How can I use the GCD of 261, 267, 23, 600Calculator?

Out the numbers 261, 267, 23, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.