GCD of 261, 309, 492, 954 Calculator

Given Input numbers are 261, 309, 492, 954

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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

GCD of numbers is the greatest common divisor

So, the GCD (261, 309, 492, 954) = 3.

Given numbers are 261, 309, 492, 954

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 309 are 3 x 103

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 954 are 2 x 3 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 261, 309, 492, 954 is 3.

Given numbers are 261, 309, 492, 954

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

Apply this formula for all numbers.

Step1:

LCM(261, 309) = 26883

GCD(261, 309) = ( 261 x 309 ) / 26883

= 261 / 309

= 261

Step2:

LCM(3, 492) = 492

GCD(3, 492) = ( 3 x 492 ) / 492

= 3 / 492

= 3

Step3:

LCM(3, 954) = 954

GCD(3, 954) = ( 3 x 954 ) / 954

= 3 / 954

= 3

So, Greatest Common Divisor of 261, 309, 492, 954 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 557, 647, 376
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• GCD of 181, 940, 370, 766

Given numbers are 261, 309, 492, 954
The greatest common divisor of numbers 261, 309, 492, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 309, 492, 954 is 3.

1. What is the GCD of 261, 309, 492, 954?

GCD of given numbers 261, 309, 492, 954 is 3

2. How to calculate the greatest common divisor of 261, 309, 492, 954?

We can find the highest common divisor of 261, 309, 492, 954 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, 309, 492, 954 i.e 3.

3. How can I use the GCD of 261, 309, 492, 954Calculator?

Out the numbers 261, 309, 492, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.