Online GCD Calculator is useful to find the GCD of 159, 651, 261, 558 quickly. Get the easiest ways to solve the greatest common divisor of 159, 651, 261, 558 i.e 3 in different methods as follows.
Given Input numbers are 159, 651, 261, 558
In the factoring method, we have to find the divisors of all numbers
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
GCD of numbers is the greatest common divisor
So, the GCD (159, 651, 261, 558) = 3.
Given numbers are 159, 651, 261, 558
The list of prime factors of all numbers are
Prime factors of 159 are 3 x 53
Prime factors of 651 are 3 x 7 x 31
Prime factors of 261 are 3 x 3 x 29
Prime factors of 558 are 2 x 3 x 3 x 31
The highest common occurrence is 31
Therefore, GCD of 159, 651, 261, 558 is 3.
Given numbers are 159, 651, 261, 558
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(159, 651) = 34503
GCD(159, 651) = ( 159 x 651 ) / 34503
= 159 / 651
= 159
Step2:
LCM(3, 261) = 261
GCD(3, 261) = ( 3 x 261 ) / 261
= 3 / 261
= 3
Step3:
LCM(3, 558) = 558
GCD(3, 558) = ( 3 x 558 ) / 558
= 3 / 558
= 3
So, Greatest Common Divisor of 159, 651, 261, 558 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 159, 651, 261, 558
The greatest common divisor of numbers 159, 651, 261, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 651, 261, 558 is 3.
1. What is the GCD of 159, 651, 261, 558?
GCD of given numbers 159, 651, 261, 558 is 3
2. How to calculate the greatest common divisor of 159, 651, 261, 558?
We can find the highest common divisor of 159, 651, 261, 558 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 159, 651, 261, 558 i.e 3.
3. How can I use the GCD of 159, 651, 261, 558Calculator?
Out the numbers 159, 651, 261, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.