GCD of 279, 270, 723, 261 Calculator

Given Input numbers are 279, 270, 723, 261

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

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 261 :

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

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (279, 270, 723, 261) = 3.

Given numbers are 279, 270, 723, 261

The list of prime factors of all numbers are

Prime factors of 279 are 3 x 3 x 31

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

Prime factors of 723 are 3 x 241

Prime factors of 261 are 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 279, 270, 723, 261 is 3.

Given numbers are 279, 270, 723, 261

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

Apply this formula for all numbers.

Step1:

LCM(279, 270) = 8370

GCD(279, 270) = ( 279 x 270 ) / 8370

= 279 / 270

= 279

Step2:

LCM(9, 723) = 2169

GCD(9, 723) = ( 9 x 723 ) / 2169

= 9 / 723

= 9

Step3:

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

= 3 / 261

= 3

So, Greatest Common Divisor of 279, 270, 723, 261 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 731, 420, 792
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• GCD of 787, 882, 696, 109

Given numbers are 279, 270, 723, 261
The greatest common divisor of numbers 279, 270, 723, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 270, 723, 261 is 3.

1. What is the GCD of 279, 270, 723, 261?

GCD of given numbers 279, 270, 723, 261 is 3

2. How to calculate the greatest common divisor of 279, 270, 723, 261?

We can find the highest common divisor of 279, 270, 723, 261 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 279, 270, 723, 261 i.e 3.

3. How can I use the GCD of 279, 270, 723, 261Calculator?

Out the numbers 279, 270, 723, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.