Online GCD Calculator is useful to find the GCD of 300, 827, 352, 252 quickly. Get the easiest ways to solve the greatest common divisor of 300, 827, 352, 252 i.e 1 in different methods as follows.
Given Input numbers are 300, 827, 352, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 827 :
The positive integer divisors of 827 that completely divides 827 are.
1, 827
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (300, 827, 352, 252) = 1.
Given numbers are 300, 827, 352, 252
The list of prime factors of all numbers are
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 827 are 827
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 300, 827, 352, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 827) = 248100
GCD(300, 827) = ( 300 x 827 ) / 248100
= 300 / 827
= 300
Step2:
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
= 1 / 352
= 1
Step3:
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
= 1 / 252
= 1
So, Greatest Common Divisor of 300, 827, 352, 252 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 827, 352, 252
The greatest common divisor of numbers 300, 827, 352, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 827, 352, 252 is 1.
1. What is the GCD of 300, 827, 352, 252?
GCD of given numbers 300, 827, 352, 252 is 1
2. How to calculate the greatest common divisor of 300, 827, 352, 252?
We can find the highest common divisor of 300, 827, 352, 252 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 300, 827, 352, 252 i.e 1.
3. How can I use the GCD of 300, 827, 352, 252Calculator?
Out the numbers 300, 827, 352, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.