Online GCD Calculator is useful to find the GCD of 402, 600, 738, 171 quickly. Get the easiest ways to solve the greatest common divisor of 402, 600, 738, 171 i.e 3 in different methods as follows.
Given Input numbers are 402, 600, 738, 171
In the factoring method, we have to find the divisors of all numbers
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
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 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
GCD of numbers is the greatest common divisor
So, the GCD (402, 600, 738, 171) = 3.
Given numbers are 402, 600, 738, 171
The list of prime factors of all numbers are
Prime factors of 402 are 2 x 3 x 67
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 171 are 3 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 402, 600, 738, 171 is 3.
Given numbers are 402, 600, 738, 171
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(402, 600) = 40200
GCD(402, 600) = ( 402 x 600 ) / 40200
= 402 / 600
= 402
Step2:
LCM(6, 738) = 738
GCD(6, 738) = ( 6 x 738 ) / 738
= 6 / 738
= 6
Step3:
LCM(6, 171) = 342
GCD(6, 171) = ( 6 x 171 ) / 342
= 6 / 171
= 6
So, Greatest Common Divisor of 402, 600, 738, 171 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 402, 600, 738, 171
The greatest common divisor of numbers 402, 600, 738, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 600, 738, 171 is 3.
1. What is the GCD of 402, 600, 738, 171?
GCD of given numbers 402, 600, 738, 171 is 3
2. How to calculate the greatest common divisor of 402, 600, 738, 171?
We can find the highest common divisor of 402, 600, 738, 171 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 402, 600, 738, 171 i.e 3.
3. How can I use the GCD of 402, 600, 738, 171Calculator?
Out the numbers 402, 600, 738, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.