Online GCD Calculator is useful to find the GCD of 160, 248, 270, 136 quickly. Get the easiest ways to solve the greatest common divisor of 160, 248, 270, 136 i.e 2 in different methods as follows.
Given Input numbers are 160, 248, 270, 136
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 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
GCD of numbers is the greatest common divisor
So, the GCD (160, 248, 270, 136) = 2.
Given numbers are 160, 248, 270, 136
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 248 are 2 x 2 x 2 x 31
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 136 are 2 x 2 x 2 x 17
The highest common occurrence is 21
Therefore, GCD of 160, 248, 270, 136 is 2.
Given numbers are 160, 248, 270, 136
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 248) = 4960
GCD(160, 248) = ( 160 x 248 ) / 4960
= 160 / 248
= 160
Step2:
LCM(8, 270) = 1080
GCD(8, 270) = ( 8 x 270 ) / 1080
= 8 / 270
= 8
Step3:
LCM(2, 136) = 136
GCD(2, 136) = ( 2 x 136 ) / 136
= 2 / 136
= 2
So, Greatest Common Divisor of 160, 248, 270, 136 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 160, 248, 270, 136
The greatest common divisor of numbers 160, 248, 270, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 248, 270, 136 is 2.
1. What is the GCD of 160, 248, 270, 136?
GCD of given numbers 160, 248, 270, 136 is 2
2. How to calculate the greatest common divisor of 160, 248, 270, 136?
We can find the highest common divisor of 160, 248, 270, 136 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, 248, 270, 136 i.e 2.
3. How can I use the GCD of 160, 248, 270, 136Calculator?
Out the numbers 160, 248, 270, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.