Online GCD Calculator is useful to find the GCD of 722, 380, 19, 220 quickly. Get the easiest ways to solve the greatest common divisor of 722, 380, 19, 220 i.e 1 in different methods as follows.
Given Input numbers are 722, 380, 19, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 19 :
The positive integer divisors of 19 that completely divides 19 are.
1, 19
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
GCD of numbers is the greatest common divisor
So, the GCD (722, 380, 19, 220) = 1.
Given numbers are 722, 380, 19, 220
The list of prime factors of all numbers are
Prime factors of 722 are 2 x 19 x 19
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 19 are 19
Prime factors of 220 are 2 x 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 722, 380, 19, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(722, 380) = 7220
GCD(722, 380) = ( 722 x 380 ) / 7220
= 722 / 380
= 722
Step2:
LCM(38, 19) = 38
GCD(38, 19) = ( 38 x 19 ) / 38
= 38 / 19
= 38
Step3:
LCM(19, 220) = 4180
GCD(19, 220) = ( 19 x 220 ) / 4180
= 19 / 220
= 19
So, Greatest Common Divisor of 722, 380, 19, 220 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 722, 380, 19, 220
The greatest common divisor of numbers 722, 380, 19, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 380, 19, 220 is 1.
1. What is the GCD of 722, 380, 19, 220?
GCD of given numbers 722, 380, 19, 220 is 1
2. How to calculate the greatest common divisor of 722, 380, 19, 220?
We can find the highest common divisor of 722, 380, 19, 220 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 722, 380, 19, 220 i.e 1.
3. How can I use the GCD of 722, 380, 19, 220Calculator?
Out the numbers 722, 380, 19, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.