Online GCD Calculator is useful to find the GCD of 159, 600, 711, 402 quickly. Get the easiest ways to solve the greatest common divisor of 159, 600, 711, 402 i.e 3 in different methods as follows.
Given Input numbers are 159, 600, 711, 402
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 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 711 :
The positive integer divisors of 711 that completely divides 711 are.
1, 3, 9, 79, 237, 711
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
GCD of numbers is the greatest common divisor
So, the GCD (159, 600, 711, 402) = 3.
Given numbers are 159, 600, 711, 402
The list of prime factors of all numbers are
Prime factors of 159 are 3 x 53
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 711 are 3 x 3 x 79
Prime factors of 402 are 2 x 3 x 67
The highest common occurrence is 31
Therefore, GCD of 159, 600, 711, 402 is 3.
Given numbers are 159, 600, 711, 402
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(159, 600) = 31800
GCD(159, 600) = ( 159 x 600 ) / 31800
= 159 / 600
= 159
Step2:
LCM(3, 711) = 711
GCD(3, 711) = ( 3 x 711 ) / 711
= 3 / 711
= 3
Step3:
LCM(3, 402) = 402
GCD(3, 402) = ( 3 x 402 ) / 402
= 3 / 402
= 3
So, Greatest Common Divisor of 159, 600, 711, 402 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 159, 600, 711, 402
The greatest common divisor of numbers 159, 600, 711, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 600, 711, 402 is 3.
1. What is the GCD of 159, 600, 711, 402?
GCD of given numbers 159, 600, 711, 402 is 3
2. How to calculate the greatest common divisor of 159, 600, 711, 402?
We can find the highest common divisor of 159, 600, 711, 402 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, 600, 711, 402 i.e 3.
3. How can I use the GCD of 159, 600, 711, 402Calculator?
Out the numbers 159, 600, 711, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.