Online GCD Calculator is useful to find the GCD of 470, 642, 960, 508 quickly. Get the easiest ways to solve the greatest common divisor of 470, 642, 960, 508 i.e 2 in different methods as follows.
Given Input numbers are 470, 642, 960, 508
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 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
GCD of numbers is the greatest common divisor
So, the GCD (470, 642, 960, 508) = 2.
Given numbers are 470, 642, 960, 508
The list of prime factors of all numbers are
Prime factors of 470 are 2 x 5 x 47
Prime factors of 642 are 2 x 3 x 107
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 508 are 2 x 2 x 127
The highest common occurrence is 21
Therefore, GCD of 470, 642, 960, 508 is 2.
Given numbers are 470, 642, 960, 508
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(470, 642) = 150870
GCD(470, 642) = ( 470 x 642 ) / 150870
= 470 / 642
= 470
Step2:
LCM(2, 960) = 960
GCD(2, 960) = ( 2 x 960 ) / 960
= 2 / 960
= 2
Step3:
LCM(2, 508) = 508
GCD(2, 508) = ( 2 x 508 ) / 508
= 2 / 508
= 2
So, Greatest Common Divisor of 470, 642, 960, 508 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 470, 642, 960, 508
The greatest common divisor of numbers 470, 642, 960, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 642, 960, 508 is 2.
1. What is the GCD of 470, 642, 960, 508?
GCD of given numbers 470, 642, 960, 508 is 2
2. How to calculate the greatest common divisor of 470, 642, 960, 508?
We can find the highest common divisor of 470, 642, 960, 508 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, 642, 960, 508 i.e 2.
3. How can I use the GCD of 470, 642, 960, 508Calculator?
Out the numbers 470, 642, 960, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.