Online GCD Calculator is useful to find the GCD of 252, 636, 105, 746 quickly. Get the easiest ways to solve the greatest common divisor of 252, 636, 105, 746 i.e 1 in different methods as follows.
Given Input numbers are 252, 636, 105, 746
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (252, 636, 105, 746) = 1.
Given numbers are 252, 636, 105, 746
The list of prime factors of all numbers are
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 105 are 3 x 5 x 7
Prime factors of 746 are 2 x 373
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 252, 636, 105, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 636) = 13356
GCD(252, 636) = ( 252 x 636 ) / 13356
= 252 / 636
= 252
Step2:
LCM(12, 105) = 420
GCD(12, 105) = ( 12 x 105 ) / 420
= 12 / 105
= 12
Step3:
LCM(3, 746) = 2238
GCD(3, 746) = ( 3 x 746 ) / 2238
= 3 / 746
= 3
So, Greatest Common Divisor of 252, 636, 105, 746 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 252, 636, 105, 746
The greatest common divisor of numbers 252, 636, 105, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 636, 105, 746 is 1.
1. What is the GCD of 252, 636, 105, 746?
GCD of given numbers 252, 636, 105, 746 is 1
2. How to calculate the greatest common divisor of 252, 636, 105, 746?
We can find the highest common divisor of 252, 636, 105, 746 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 252, 636, 105, 746 i.e 1.
3. How can I use the GCD of 252, 636, 105, 746Calculator?
Out the numbers 252, 636, 105, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.