Online GCD Calculator is useful to find the GCD of 212, 126, 469, 721 quickly. Get the easiest ways to solve the greatest common divisor of 212, 126, 469, 721 i.e 1 in different methods as follows.
Given Input numbers are 212, 126, 469, 721
In the factoring method, we have to find the divisors of all numbers
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 469 :
The positive integer divisors of 469 that completely divides 469 are.
1, 7, 67, 469
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
GCD of numbers is the greatest common divisor
So, the GCD (212, 126, 469, 721) = 1.
Given numbers are 212, 126, 469, 721
The list of prime factors of all numbers are
Prime factors of 212 are 2 x 2 x 53
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 469 are 7 x 67
Prime factors of 721 are 7 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 212, 126, 469, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(212, 126) = 13356
GCD(212, 126) = ( 212 x 126 ) / 13356
= 212 / 126
= 212
Step2:
LCM(2, 469) = 938
GCD(2, 469) = ( 2 x 469 ) / 938
= 2 / 469
= 2
Step3:
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
= 1 / 721
= 1
So, Greatest Common Divisor of 212, 126, 469, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 212, 126, 469, 721
The greatest common divisor of numbers 212, 126, 469, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 126, 469, 721 is 1.
1. What is the GCD of 212, 126, 469, 721?
GCD of given numbers 212, 126, 469, 721 is 1
2. How to calculate the greatest common divisor of 212, 126, 469, 721?
We can find the highest common divisor of 212, 126, 469, 721 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 212, 126, 469, 721 i.e 1.
3. How can I use the GCD of 212, 126, 469, 721Calculator?
Out the numbers 212, 126, 469, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.