Online GCD Calculator is useful to find the GCD of 402, 856, 870, 502 quickly. Get the easiest ways to solve the greatest common divisor of 402, 856, 870, 502 i.e 2 in different methods as follows.
Given Input numbers are 402, 856, 870, 502
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 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
GCD of numbers is the greatest common divisor
So, the GCD (402, 856, 870, 502) = 2.
Given numbers are 402, 856, 870, 502
The list of prime factors of all numbers are
Prime factors of 402 are 2 x 3 x 67
Prime factors of 856 are 2 x 2 x 2 x 107
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 502 are 2 x 251
The highest common occurrence is 21
Therefore, GCD of 402, 856, 870, 502 is 2.
Given numbers are 402, 856, 870, 502
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(402, 856) = 172056
GCD(402, 856) = ( 402 x 856 ) / 172056
= 402 / 856
= 402
Step2:
LCM(2, 870) = 870
GCD(2, 870) = ( 2 x 870 ) / 870
= 2 / 870
= 2
Step3:
LCM(2, 502) = 502
GCD(2, 502) = ( 2 x 502 ) / 502
= 2 / 502
= 2
So, Greatest Common Divisor of 402, 856, 870, 502 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 402, 856, 870, 502
The greatest common divisor of numbers 402, 856, 870, 502 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 856, 870, 502 is 2.
1. What is the GCD of 402, 856, 870, 502?
GCD of given numbers 402, 856, 870, 502 is 2
2. How to calculate the greatest common divisor of 402, 856, 870, 502?
We can find the highest common divisor of 402, 856, 870, 502 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, 856, 870, 502 i.e 2.
3. How can I use the GCD of 402, 856, 870, 502Calculator?
Out the numbers 402, 856, 870, 502 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.