Online GCD Calculator is useful to find the GCD of 828, 456, 400, 853 quickly. Get the easiest ways to solve the greatest common divisor of 828, 456, 400, 853 i.e 1 in different methods as follows.
Given Input numbers are 828, 456, 400, 853
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 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 853 :
The positive integer divisors of 853 that completely divides 853 are.
1, 853
GCD of numbers is the greatest common divisor
So, the GCD (828, 456, 400, 853) = 1.
Given numbers are 828, 456, 400, 853
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 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 853 are 853
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 828, 456, 400, 853
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 456) = 31464
GCD(828, 456) = ( 828 x 456 ) / 31464
= 828 / 456
= 828
Step2:
LCM(12, 400) = 1200
GCD(12, 400) = ( 12 x 400 ) / 1200
= 12 / 400
= 12
Step3:
LCM(4, 853) = 3412
GCD(4, 853) = ( 4 x 853 ) / 3412
= 4 / 853
= 4
So, Greatest Common Divisor of 828, 456, 400, 853 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 456, 400, 853
The greatest common divisor of numbers 828, 456, 400, 853 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 456, 400, 853 is 1.
1. What is the GCD of 828, 456, 400, 853?
GCD of given numbers 828, 456, 400, 853 is 1
2. How to calculate the greatest common divisor of 828, 456, 400, 853?
We can find the highest common divisor of 828, 456, 400, 853 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, 456, 400, 853 i.e 1.
3. How can I use the GCD of 828, 456, 400, 853Calculator?
Out the numbers 828, 456, 400, 853 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.