Online GCD Calculator is useful to find the GCD of 160, 772, 420, 559 quickly. Get the easiest ways to solve the greatest common divisor of 160, 772, 420, 559 i.e 1 in different methods as follows.
Given Input numbers are 160, 772, 420, 559
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 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 559 :
The positive integer divisors of 559 that completely divides 559 are.
1, 13, 43, 559
GCD of numbers is the greatest common divisor
So, the GCD (160, 772, 420, 559) = 1.
Given numbers are 160, 772, 420, 559
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 772 are 2 x 2 x 193
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 559 are 13 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 160, 772, 420, 559
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 772) = 30880
GCD(160, 772) = ( 160 x 772 ) / 30880
= 160 / 772
= 160
Step2:
LCM(4, 420) = 420
GCD(4, 420) = ( 4 x 420 ) / 420
= 4 / 420
= 4
Step3:
LCM(4, 559) = 2236
GCD(4, 559) = ( 4 x 559 ) / 2236
= 4 / 559
= 4
So, Greatest Common Divisor of 160, 772, 420, 559 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 160, 772, 420, 559
The greatest common divisor of numbers 160, 772, 420, 559 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 772, 420, 559 is 1.
1. What is the GCD of 160, 772, 420, 559?
GCD of given numbers 160, 772, 420, 559 is 1
2. How to calculate the greatest common divisor of 160, 772, 420, 559?
We can find the highest common divisor of 160, 772, 420, 559 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, 772, 420, 559 i.e 1.
3. How can I use the GCD of 160, 772, 420, 559Calculator?
Out the numbers 160, 772, 420, 559 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.