Online GCD Calculator is useful to find the GCD of 924, 736, 189, 252 quickly. Get the easiest ways to solve the greatest common divisor of 924, 736, 189, 252 i.e 1 in different methods as follows.
Given Input numbers are 924, 736, 189, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
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 (924, 736, 189, 252) = 1.
Given numbers are 924, 736, 189, 252
The list of prime factors of all numbers are
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 189 are 3 x 3 x 3 x 7
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 924, 736, 189, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 736) = 170016
GCD(924, 736) = ( 924 x 736 ) / 170016
= 924 / 736
= 924
Step2:
LCM(4, 189) = 756
GCD(4, 189) = ( 4 x 189 ) / 756
= 4 / 189
= 4
Step3:
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
= 1 / 252
= 1
So, Greatest Common Divisor of 924, 736, 189, 252 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 924, 736, 189, 252
The greatest common divisor of numbers 924, 736, 189, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 736, 189, 252 is 1.
1. What is the GCD of 924, 736, 189, 252?
GCD of given numbers 924, 736, 189, 252 is 1
2. How to calculate the greatest common divisor of 924, 736, 189, 252?
We can find the highest common divisor of 924, 736, 189, 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 924, 736, 189, 252 i.e 1.
3. How can I use the GCD of 924, 736, 189, 252Calculator?
Out the numbers 924, 736, 189, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.