Online GCD Calculator is useful to find the GCD of 160, 342, 315, 100 quickly. Get the easiest ways to solve the greatest common divisor of 160, 342, 315, 100 i.e 1 in different methods as follows.
Given Input numbers are 160, 342, 315, 100
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 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (160, 342, 315, 100) = 1.
Given numbers are 160, 342, 315, 100
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 342 are 2 x 3 x 3 x 19
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 100 are 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 160, 342, 315, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 342) = 27360
GCD(160, 342) = ( 160 x 342 ) / 27360
= 160 / 342
= 160
Step2:
LCM(2, 315) = 630
GCD(2, 315) = ( 2 x 315 ) / 630
= 2 / 315
= 2
Step3:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
So, Greatest Common Divisor of 160, 342, 315, 100 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 160, 342, 315, 100
The greatest common divisor of numbers 160, 342, 315, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 342, 315, 100 is 1.
1. What is the GCD of 160, 342, 315, 100?
GCD of given numbers 160, 342, 315, 100 is 1
2. How to calculate the greatest common divisor of 160, 342, 315, 100?
We can find the highest common divisor of 160, 342, 315, 100 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, 342, 315, 100 i.e 1.
3. How can I use the GCD of 160, 342, 315, 100Calculator?
Out the numbers 160, 342, 315, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.