GCD of 261, 585, 258, 378 Calculator

Given Input numbers are 261, 585, 258, 378

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 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (261, 585, 258, 378) = 3.

Given numbers are 261, 585, 258, 378

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 258 are 2 x 3 x 43

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 261, 585, 258, 378 is 3.

Given numbers are 261, 585, 258, 378

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

Apply this formula for all numbers.

Step1:

LCM(261, 585) = 16965

GCD(261, 585) = ( 261 x 585 ) / 16965

= 261 / 585

= 261

Step2:

LCM(9, 258) = 774

GCD(9, 258) = ( 9 x 258 ) / 774

= 9 / 258

= 9

Step3:

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

= 3 / 378

= 3

So, Greatest Common Divisor of 261, 585, 258, 378 is 3

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• GCD of 987, 884, 763, 222
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Given numbers are 261, 585, 258, 378
The greatest common divisor of numbers 261, 585, 258, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 585, 258, 378 is 3.

1. What is the GCD of 261, 585, 258, 378?

GCD of given numbers 261, 585, 258, 378 is 3

2. How to calculate the greatest common divisor of 261, 585, 258, 378?

We can find the highest common divisor of 261, 585, 258, 378 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, 585, 258, 378 i.e 3.

3. How can I use the GCD of 261, 585, 258, 378Calculator?

Out the numbers 261, 585, 258, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.