Online GCD Calculator is useful to find the GCD of 470, 870, 774, 402 quickly. Get the easiest ways to solve the greatest common divisor of 470, 870, 774, 402 i.e 2 in different methods as follows.
Given Input numbers are 470, 870, 774, 402
In the factoring method, we have to find the divisors of all numbers
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
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 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
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 (470, 870, 774, 402) = 2.
Given numbers are 470, 870, 774, 402
The list of prime factors of all numbers are
Prime factors of 470 are 2 x 5 x 47
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 402 are 2 x 3 x 67
The highest common occurrence is 21
Therefore, GCD of 470, 870, 774, 402 is 2.
Given numbers are 470, 870, 774, 402
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(470, 870) = 40890
GCD(470, 870) = ( 470 x 870 ) / 40890
= 470 / 870
= 470
Step2:
LCM(10, 774) = 3870
GCD(10, 774) = ( 10 x 774 ) / 3870
= 10 / 774
= 10
Step3:
LCM(2, 402) = 402
GCD(2, 402) = ( 2 x 402 ) / 402
= 2 / 402
= 2
So, Greatest Common Divisor of 470, 870, 774, 402 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 470, 870, 774, 402
The greatest common divisor of numbers 470, 870, 774, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 870, 774, 402 is 2.
1. What is the GCD of 470, 870, 774, 402?
GCD of given numbers 470, 870, 774, 402 is 2
2. How to calculate the greatest common divisor of 470, 870, 774, 402?
We can find the highest common divisor of 470, 870, 774, 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 470, 870, 774, 402 i.e 2.
3. How can I use the GCD of 470, 870, 774, 402Calculator?
Out the numbers 470, 870, 774, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.