Online GCD Calculator is useful to find the GCD of 126, 412, 921, 198 quickly. Get the easiest ways to solve the greatest common divisor of 126, 412, 921, 198 i.e 1 in different methods as follows.
Given Input numbers are 126, 412, 921, 198
In the factoring method, we have to find the divisors of all numbers
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 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (126, 412, 921, 198) = 1.
Given numbers are 126, 412, 921, 198
The list of prime factors of all numbers are
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 412 are 2 x 2 x 103
Prime factors of 921 are 3 x 307
Prime factors of 198 are 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 126, 412, 921, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(126, 412) = 25956
GCD(126, 412) = ( 126 x 412 ) / 25956
= 126 / 412
= 126
Step2:
LCM(2, 921) = 1842
GCD(2, 921) = ( 2 x 921 ) / 1842
= 2 / 921
= 2
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 126, 412, 921, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 126, 412, 921, 198
The greatest common divisor of numbers 126, 412, 921, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 412, 921, 198 is 1.
1. What is the GCD of 126, 412, 921, 198?
GCD of given numbers 126, 412, 921, 198 is 1
2. How to calculate the greatest common divisor of 126, 412, 921, 198?
We can find the highest common divisor of 126, 412, 921, 198 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 126, 412, 921, 198 i.e 1.
3. How can I use the GCD of 126, 412, 921, 198Calculator?
Out the numbers 126, 412, 921, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.