Online GCD Calculator is useful to find the GCD of 261, 294, 594, 144 quickly. Get the easiest ways to solve the greatest common divisor of 261, 294, 594, 144 i.e 3 in different methods as follows.
Given Input numbers are 261, 294, 594, 144
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 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 594 :
The positive integer divisors of 594 that completely divides 594 are.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (261, 294, 594, 144) = 3.
Given numbers are 261, 294, 594, 144
The list of prime factors of all numbers are
Prime factors of 261 are 3 x 3 x 29
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 594 are 2 x 3 x 3 x 3 x 11
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 261, 294, 594, 144 is 3.
Given numbers are 261, 294, 594, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(261, 294) = 25578
GCD(261, 294) = ( 261 x 294 ) / 25578
= 261 / 294
= 261
Step2:
LCM(3, 594) = 594
GCD(3, 594) = ( 3 x 594 ) / 594
= 3 / 594
= 3
Step3:
LCM(3, 144) = 144
GCD(3, 144) = ( 3 x 144 ) / 144
= 3 / 144
= 3
So, Greatest Common Divisor of 261, 294, 594, 144 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 261, 294, 594, 144
The greatest common divisor of numbers 261, 294, 594, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 294, 594, 144 is 3.
1. What is the GCD of 261, 294, 594, 144?
GCD of given numbers 261, 294, 594, 144 is 3
2. How to calculate the greatest common divisor of 261, 294, 594, 144?
We can find the highest common divisor of 261, 294, 594, 144 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, 294, 594, 144 i.e 3.
3. How can I use the GCD of 261, 294, 594, 144Calculator?
Out the numbers 261, 294, 594, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.