Online GCD Calculator is useful to find the GCD of 434, 978, 345, 126 quickly. Get the easiest ways to solve the greatest common divisor of 434, 978, 345, 126 i.e 1 in different methods as follows.
Given Input numbers are 434, 978, 345, 126
In the factoring method, we have to find the divisors of all numbers
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
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
GCD of numbers is the greatest common divisor
So, the GCD (434, 978, 345, 126) = 1.
Given numbers are 434, 978, 345, 126
The list of prime factors of all numbers are
Prime factors of 434 are 2 x 7 x 31
Prime factors of 978 are 2 x 3 x 163
Prime factors of 345 are 3 x 5 x 23
Prime factors of 126 are 2 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 434, 978, 345, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(434, 978) = 212226
GCD(434, 978) = ( 434 x 978 ) / 212226
= 434 / 978
= 434
Step2:
LCM(2, 345) = 690
GCD(2, 345) = ( 2 x 345 ) / 690
= 2 / 345
= 2
Step3:
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
= 1 / 126
= 1
So, Greatest Common Divisor of 434, 978, 345, 126 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 434, 978, 345, 126
The greatest common divisor of numbers 434, 978, 345, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 978, 345, 126 is 1.
1. What is the GCD of 434, 978, 345, 126?
GCD of given numbers 434, 978, 345, 126 is 1
2. How to calculate the greatest common divisor of 434, 978, 345, 126?
We can find the highest common divisor of 434, 978, 345, 126 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 434, 978, 345, 126 i.e 1.
3. How can I use the GCD of 434, 978, 345, 126Calculator?
Out the numbers 434, 978, 345, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.