Online GCD Calculator is useful to find the GCD of 814, 869, 728, 642 quickly. Get the easiest ways to solve the greatest common divisor of 814, 869, 728, 642 i.e 1 in different methods as follows.
Given Input numbers are 814, 869, 728, 642
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 869 :
The positive integer divisors of 869 that completely divides 869 are.
1, 11, 79, 869
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
GCD of numbers is the greatest common divisor
So, the GCD (814, 869, 728, 642) = 1.
Given numbers are 814, 869, 728, 642
The list of prime factors of all numbers are
Prime factors of 814 are 2 x 11 x 37
Prime factors of 869 are 11 x 79
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 642 are 2 x 3 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 814, 869, 728, 642
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(814, 869) = 64306
GCD(814, 869) = ( 814 x 869 ) / 64306
= 814 / 869
= 814
Step2:
LCM(11, 728) = 8008
GCD(11, 728) = ( 11 x 728 ) / 8008
= 11 / 728
= 11
Step3:
LCM(1, 642) = 642
GCD(1, 642) = ( 1 x 642 ) / 642
= 1 / 642
= 1
So, Greatest Common Divisor of 814, 869, 728, 642 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 814, 869, 728, 642
The greatest common divisor of numbers 814, 869, 728, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 869, 728, 642 is 1.
1. What is the GCD of 814, 869, 728, 642?
GCD of given numbers 814, 869, 728, 642 is 1
2. How to calculate the greatest common divisor of 814, 869, 728, 642?
We can find the highest common divisor of 814, 869, 728, 642 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, 869, 728, 642 i.e 1.
3. How can I use the GCD of 814, 869, 728, 642Calculator?
Out the numbers 814, 869, 728, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.