GCD of 261, 912, 408, 462 Calculator

Given Input numbers are 261, 912, 408, 462

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 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 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (261, 912, 408, 462) = 3.

Given numbers are 261, 912, 408, 462

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

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

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 462 are 2 x 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 261, 912, 408, 462 is 3.

Given numbers are 261, 912, 408, 462

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

Apply this formula for all numbers.

Step1:

LCM(261, 912) = 79344

GCD(261, 912) = ( 261 x 912 ) / 79344

= 261 / 912

= 261

Step2:

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

= 3 / 408

= 3

Step3:

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

= 3 / 462

= 3

So, Greatest Common Divisor of 261, 912, 408, 462 is 3

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• GCD of 708, 842, 102, 946
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Given numbers are 261, 912, 408, 462
The greatest common divisor of numbers 261, 912, 408, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 912, 408, 462 is 3.

1. What is the GCD of 261, 912, 408, 462?

GCD of given numbers 261, 912, 408, 462 is 3

2. How to calculate the greatest common divisor of 261, 912, 408, 462?

We can find the highest common divisor of 261, 912, 408, 462 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, 912, 408, 462 i.e 3.

3. How can I use the GCD of 261, 912, 408, 462Calculator?

Out the numbers 261, 912, 408, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.