Online GCD Calculator is useful to find the GCD of 229, 738, 294, 220 quickly. Get the easiest ways to solve the greatest common divisor of 229, 738, 294, 220 i.e 1 in different methods as follows.
Given Input numbers are 229, 738, 294, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 229 :
The positive integer divisors of 229 that completely divides 229 are.
1, 229
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
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 (229, 738, 294, 220) = 1.
Given numbers are 229, 738, 294, 220
The list of prime factors of all numbers are
Prime factors of 229 are 229
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 294 are 2 x 3 x 7 x 7
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 229, 738, 294, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(229, 738) = 169002
GCD(229, 738) = ( 229 x 738 ) / 169002
= 229 / 738
= 229
Step2:
LCM(1, 294) = 294
GCD(1, 294) = ( 1 x 294 ) / 294
= 1 / 294
= 1
Step3:
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
= 1 / 220
= 1
So, Greatest Common Divisor of 229, 738, 294, 220 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 229, 738, 294, 220
The greatest common divisor of numbers 229, 738, 294, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 229, 738, 294, 220 is 1.
1. What is the GCD of 229, 738, 294, 220?
GCD of given numbers 229, 738, 294, 220 is 1
2. How to calculate the greatest common divisor of 229, 738, 294, 220?
We can find the highest common divisor of 229, 738, 294, 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 229, 738, 294, 220 i.e 1.
3. How can I use the GCD of 229, 738, 294, 220Calculator?
Out the numbers 229, 738, 294, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.