Online GCD Calculator is useful to find the GCD of 814, 629, 703, 428 quickly. Get the easiest ways to solve the greatest common divisor of 814, 629, 703, 428 i.e 1 in different methods as follows.
Given Input numbers are 814, 629, 703, 428
In the factoring method, we have to find the divisors of all numbers
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 629 :
The positive integer divisors of 629 that completely divides 629 are.
1, 17, 37, 629
Divisors of 703 :
The positive integer divisors of 703 that completely divides 703 are.
1, 19, 37, 703
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (814, 629, 703, 428) = 1.
Given numbers are 814, 629, 703, 428
The list of prime factors of all numbers are
Prime factors of 814 are 2 x 11 x 37
Prime factors of 629 are 17 x 37
Prime factors of 703 are 19 x 37
Prime factors of 428 are 2 x 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 814, 629, 703, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(814, 629) = 13838
GCD(814, 629) = ( 814 x 629 ) / 13838
= 814 / 629
= 814
Step2:
LCM(37, 703) = 703
GCD(37, 703) = ( 37 x 703 ) / 703
= 37 / 703
= 37
Step3:
LCM(37, 428) = 15836
GCD(37, 428) = ( 37 x 428 ) / 15836
= 37 / 428
= 37
So, Greatest Common Divisor of 814, 629, 703, 428 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 814, 629, 703, 428
The greatest common divisor of numbers 814, 629, 703, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 629, 703, 428 is 1.
1. What is the GCD of 814, 629, 703, 428?
GCD of given numbers 814, 629, 703, 428 is 1
2. How to calculate the greatest common divisor of 814, 629, 703, 428?
We can find the highest common divisor of 814, 629, 703, 428 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 814, 629, 703, 428 i.e 1.
3. How can I use the GCD of 814, 629, 703, 428Calculator?
Out the numbers 814, 629, 703, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.