Online GCD Calculator is useful to find the GCD of 159, 765, 744, 654 quickly. Get the easiest ways to solve the greatest common divisor of 159, 765, 744, 654 i.e 3 in different methods as follows.
Given Input numbers are 159, 765, 744, 654
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 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
GCD of numbers is the greatest common divisor
So, the GCD (159, 765, 744, 654) = 3.
Given numbers are 159, 765, 744, 654
The list of prime factors of all numbers are
Prime factors of 159 are 3 x 53
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 654 are 2 x 3 x 109
The highest common occurrence is 31
Therefore, GCD of 159, 765, 744, 654 is 3.
Given numbers are 159, 765, 744, 654
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(159, 765) = 40545
GCD(159, 765) = ( 159 x 765 ) / 40545
= 159 / 765
= 159
Step2:
LCM(3, 744) = 744
GCD(3, 744) = ( 3 x 744 ) / 744
= 3 / 744
= 3
Step3:
LCM(3, 654) = 654
GCD(3, 654) = ( 3 x 654 ) / 654
= 3 / 654
= 3
So, Greatest Common Divisor of 159, 765, 744, 654 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 159, 765, 744, 654
The greatest common divisor of numbers 159, 765, 744, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 765, 744, 654 is 3.
1. What is the GCD of 159, 765, 744, 654?
GCD of given numbers 159, 765, 744, 654 is 3
2. How to calculate the greatest common divisor of 159, 765, 744, 654?
We can find the highest common divisor of 159, 765, 744, 654 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, 765, 744, 654 i.e 3.
3. How can I use the GCD of 159, 765, 744, 654Calculator?
Out the numbers 159, 765, 744, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.