Online GCD Calculator is useful to find the GCD of 160, 130, 172 quickly. Get the easiest ways to solve the greatest common divisor of 160, 130, 172 i.e 2 in different methods as follows.
Given Input numbers are 160, 130, 172
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (160, 130, 172) = 2.
Given numbers are 160, 130, 172
The list of prime factors of all numbers are
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 130 are 2 x 5 x 13
Prime factors of 172 are 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 160, 130, 172 is 2.
Given numbers are 160, 130, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 130) = 2080
GCD(160, 130) = ( 160 x 130 ) / 2080
= 160 / 130
= 160
Step2:
LCM(10, 172) = 860
GCD(10, 172) = ( 10 x 172 ) / 860
= 10 / 172
= 10
So, Greatest Common Divisor of 160, 130, 172 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 160, 130, 172
The greatest common divisor of numbers 160, 130, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 130, 172 is 2.
1. What is the GCD of 160, 130, 172?
GCD of given numbers 160, 130, 172 is 2
2. How to calculate the greatest common divisor of 160, 130, 172?
We can find the highest common divisor of 160, 130, 172 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 160, 130, 172 i.e 2.
3. How can I use the GCD of 160, 130, 172Calculator?
Out the numbers 160, 130, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.