Online GCD Calculator is useful to find the GCD of 827, 705, 769, 828 quickly. Get the easiest ways to solve the greatest common divisor of 827, 705, 769, 828 i.e 1 in different methods as follows.
Given Input numbers are 827, 705, 769, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 827 :
The positive integer divisors of 827 that completely divides 827 are.
1, 827
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 769 :
The positive integer divisors of 769 that completely divides 769 are.
1, 769
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
GCD of numbers is the greatest common divisor
So, the GCD (827, 705, 769, 828) = 1.
Given numbers are 827, 705, 769, 828
The list of prime factors of all numbers are
Prime factors of 827 are 827
Prime factors of 705 are 3 x 5 x 47
Prime factors of 769 are 769
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 827, 705, 769, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(827, 705) = 583035
GCD(827, 705) = ( 827 x 705 ) / 583035
= 827 / 705
= 827
Step2:
LCM(1, 769) = 769
GCD(1, 769) = ( 1 x 769 ) / 769
= 1 / 769
= 1
Step3:
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
= 1 / 828
= 1
So, Greatest Common Divisor of 827, 705, 769, 828 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 827, 705, 769, 828
The greatest common divisor of numbers 827, 705, 769, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 827, 705, 769, 828 is 1.
1. What is the GCD of 827, 705, 769, 828?
GCD of given numbers 827, 705, 769, 828 is 1
2. How to calculate the greatest common divisor of 827, 705, 769, 828?
We can find the highest common divisor of 827, 705, 769, 828 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 827, 705, 769, 828 i.e 1.
3. How can I use the GCD of 827, 705, 769, 828Calculator?
Out the numbers 827, 705, 769, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.