GCD of 261, 825, 228, 777 Calculator

Given Input numbers are 261, 825, 228, 777

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

GCD of numbers is the greatest common divisor

So, the GCD (261, 825, 228, 777) = 3.

Given numbers are 261, 825, 228, 777

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 777 are 3 x 7 x 37

The highest common occurrence is 3¹

Therefore, GCD of 261, 825, 228, 777 is 3.

Given numbers are 261, 825, 228, 777

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

Apply this formula for all numbers.

Step1:

LCM(261, 825) = 71775

GCD(261, 825) = ( 261 x 825 ) / 71775

= 261 / 825

= 261

Step2:

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

= 3 / 228

= 3

Step3:

LCM(3, 777) = 777

GCD(3, 777) = ( 3 x 777 ) / 777

= 3 / 777

= 3

So, Greatest Common Divisor of 261, 825, 228, 777 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 982, 792, 419
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• GCD of 199, 869, 731, 483
• GCD of 580, 252, 482, 646

Given numbers are 261, 825, 228, 777
The greatest common divisor of numbers 261, 825, 228, 777 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 825, 228, 777 is 3.

1. What is the GCD of 261, 825, 228, 777?

GCD of given numbers 261, 825, 228, 777 is 3

2. How to calculate the greatest common divisor of 261, 825, 228, 777?

We can find the highest common divisor of 261, 825, 228, 777 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, 825, 228, 777 i.e 3.

3. How can I use the GCD of 261, 825, 228, 777Calculator?

Out the numbers 261, 825, 228, 777 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.