Online GCD Calculator is useful to find the GCD of 828, 979, 142, 814 quickly. Get the easiest ways to solve the greatest common divisor of 828, 979, 142, 814 i.e 1 in different methods as follows.
Given Input numbers are 828, 979, 142, 814
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 979 :
The positive integer divisors of 979 that completely divides 979 are.
1, 11, 89, 979
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
GCD of numbers is the greatest common divisor
So, the GCD (828, 979, 142, 814) = 1.
Given numbers are 828, 979, 142, 814
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 979 are 11 x 89
Prime factors of 142 are 2 x 71
Prime factors of 814 are 2 x 11 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 828, 979, 142, 814
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 979) = 810612
GCD(828, 979) = ( 828 x 979 ) / 810612
= 828 / 979
= 828
Step2:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
Step3:
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
= 1 / 814
= 1
So, Greatest Common Divisor of 828, 979, 142, 814 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 979, 142, 814
The greatest common divisor of numbers 828, 979, 142, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 979, 142, 814 is 1.
1. What is the GCD of 828, 979, 142, 814?
GCD of given numbers 828, 979, 142, 814 is 1
2. How to calculate the greatest common divisor of 828, 979, 142, 814?
We can find the highest common divisor of 828, 979, 142, 814 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 828, 979, 142, 814 i.e 1.
3. How can I use the GCD of 828, 979, 142, 814Calculator?
Out the numbers 828, 979, 142, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.