Online GCD Calculator is useful to find the GCD of 160, 505, 135, 635 quickly. Get the easiest ways to solve the greatest common divisor of 160, 505, 135, 635 i.e 5 in different methods as follows.
Given Input numbers are 160, 505, 135, 635
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 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 635 :
The positive integer divisors of 635 that completely divides 635 are.
1, 5, 127, 635
GCD of numbers is the greatest common divisor
So, the GCD (160, 505, 135, 635) = 5.
Given numbers are 160, 505, 135, 635
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 505 are 5 x 101
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 635 are 5 x 127
The highest common occurrence is 51
Therefore, GCD of 160, 505, 135, 635 is 5.
Given numbers are 160, 505, 135, 635
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 505) = 16160
GCD(160, 505) = ( 160 x 505 ) / 16160
= 160 / 505
= 160
Step2:
LCM(5, 135) = 135
GCD(5, 135) = ( 5 x 135 ) / 135
= 5 / 135
= 5
Step3:
LCM(5, 635) = 635
GCD(5, 635) = ( 5 x 635 ) / 635
= 5 / 635
= 5
So, Greatest Common Divisor of 160, 505, 135, 635 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 160, 505, 135, 635
The greatest common divisor of numbers 160, 505, 135, 635 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 505, 135, 635 is 5.
1. What is the GCD of 160, 505, 135, 635?
GCD of given numbers 160, 505, 135, 635 is 5
2. How to calculate the greatest common divisor of 160, 505, 135, 635?
We can find the highest common divisor of 160, 505, 135, 635 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, 505, 135, 635 i.e 5.
3. How can I use the GCD of 160, 505, 135, 635Calculator?
Out the numbers 160, 505, 135, 635 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.