Online GCD Calculator is useful to find the GCD of 520, 108, 430, 160 quickly. Get the easiest ways to solve the greatest common divisor of 520, 108, 430, 160 i.e 2 in different methods as follows.
Given Input numbers are 520, 108, 430, 160
In the factoring method, we have to find the divisors of all numbers
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 430 :
The positive integer divisors of 430 that completely divides 430 are.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
GCD of numbers is the greatest common divisor
So, the GCD (520, 108, 430, 160) = 2.
Given numbers are 520, 108, 430, 160
The list of prime factors of all numbers are
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 430 are 2 x 5 x 43
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 520, 108, 430, 160 is 2.
Given numbers are 520, 108, 430, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 108) = 14040
GCD(520, 108) = ( 520 x 108 ) / 14040
= 520 / 108
= 520
Step2:
LCM(4, 430) = 860
GCD(4, 430) = ( 4 x 430 ) / 860
= 4 / 430
= 4
Step3:
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
= 2 / 160
= 2
So, Greatest Common Divisor of 520, 108, 430, 160 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 108, 430, 160
The greatest common divisor of numbers 520, 108, 430, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 108, 430, 160 is 2.
1. What is the GCD of 520, 108, 430, 160?
GCD of given numbers 520, 108, 430, 160 is 2
2. How to calculate the greatest common divisor of 520, 108, 430, 160?
We can find the highest common divisor of 520, 108, 430, 160 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 520, 108, 430, 160 i.e 2.
3. How can I use the GCD of 520, 108, 430, 160Calculator?
Out the numbers 520, 108, 430, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.