GCD of 261, 678, 241, 789 Calculator

Given Input numbers are 261, 678, 241, 789

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 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 241 :

The positive integer divisors of 241 that completely divides 241 are.

1, 241

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (261, 678, 241, 789) = 1.

Given numbers are 261, 678, 241, 789

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 678 are 2 x 3 x 113

Prime factors of 241 are 241

Prime factors of 789 are 3 x 263

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 261, 678, 241, 789

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

Apply this formula for all numbers.

Step1:

LCM(261, 678) = 58986

GCD(261, 678) = ( 261 x 678 ) / 58986

= 261 / 678

= 261

Step2:

LCM(3, 241) = 723

GCD(3, 241) = ( 3 x 241 ) / 723

= 3 / 241

= 3

Step3:

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

= 1 / 789

= 1

So, Greatest Common Divisor of 261, 678, 241, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 652, 853, 405
• GCD of 182, 904, 927, 116
• GCD of 818, 777, 732, 337
• GCD of 175, 876, 261, 203
• GCD of 764, 201, 423, 109

Given numbers are 261, 678, 241, 789
The greatest common divisor of numbers 261, 678, 241, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 678, 241, 789 is 1.

1. What is the GCD of 261, 678, 241, 789?

GCD of given numbers 261, 678, 241, 789 is 1

2. How to calculate the greatest common divisor of 261, 678, 241, 789?

We can find the highest common divisor of 261, 678, 241, 789 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, 678, 241, 789 i.e 1.

3. How can I use the GCD of 261, 678, 241, 789Calculator?

Out the numbers 261, 678, 241, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.