Online GCD Calculator is useful to find the GCD of 828, 308, 132, 253 quickly. Get the easiest ways to solve the greatest common divisor of 828, 308, 132, 253 i.e 1 in different methods as follows.
Given Input numbers are 828, 308, 132, 253
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 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 253 :
The positive integer divisors of 253 that completely divides 253 are.
1, 11, 23, 253
GCD of numbers is the greatest common divisor
So, the GCD (828, 308, 132, 253) = 1.
Given numbers are 828, 308, 132, 253
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 308 are 2 x 2 x 7 x 11
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 253 are 11 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 828, 308, 132, 253
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 308) = 63756
GCD(828, 308) = ( 828 x 308 ) / 63756
= 828 / 308
= 828
Step2:
LCM(4, 132) = 132
GCD(4, 132) = ( 4 x 132 ) / 132
= 4 / 132
= 4
Step3:
LCM(4, 253) = 1012
GCD(4, 253) = ( 4 x 253 ) / 1012
= 4 / 253
= 4
So, Greatest Common Divisor of 828, 308, 132, 253 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 308, 132, 253
The greatest common divisor of numbers 828, 308, 132, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 308, 132, 253 is 1.
1. What is the GCD of 828, 308, 132, 253?
GCD of given numbers 828, 308, 132, 253 is 1
2. How to calculate the greatest common divisor of 828, 308, 132, 253?
We can find the highest common divisor of 828, 308, 132, 253 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, 308, 132, 253 i.e 1.
3. How can I use the GCD of 828, 308, 132, 253Calculator?
Out the numbers 828, 308, 132, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.