Online GCD Calculator is useful to find the GCD of 434, 978, 109, 703 quickly. Get the easiest ways to solve the greatest common divisor of 434, 978, 109, 703 i.e 1 in different methods as follows.
Given Input numbers are 434, 978, 109, 703
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 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 703 :
The positive integer divisors of 703 that completely divides 703 are.
1, 19, 37, 703
GCD of numbers is the greatest common divisor
So, the GCD (434, 978, 109, 703) = 1.
Given numbers are 434, 978, 109, 703
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 109 are 109
Prime factors of 703 are 19 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 434, 978, 109, 703
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, 109) = 218
GCD(2, 109) = ( 2 x 109 ) / 218
= 2 / 109
= 2
Step3:
LCM(1, 703) = 703
GCD(1, 703) = ( 1 x 703 ) / 703
= 1 / 703
= 1
So, Greatest Common Divisor of 434, 978, 109, 703 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 434, 978, 109, 703
The greatest common divisor of numbers 434, 978, 109, 703 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 978, 109, 703 is 1.
1. What is the GCD of 434, 978, 109, 703?
GCD of given numbers 434, 978, 109, 703 is 1
2. How to calculate the greatest common divisor of 434, 978, 109, 703?
We can find the highest common divisor of 434, 978, 109, 703 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, 109, 703 i.e 1.
3. How can I use the GCD of 434, 978, 109, 703Calculator?
Out the numbers 434, 978, 109, 703 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.