Online GCD Calculator is useful to find the GCD of 744, 693, 105, 812 quickly. Get the easiest ways to solve the greatest common divisor of 744, 693, 105, 812 i.e 1 in different methods as follows.
Given Input numbers are 744, 693, 105, 812
In the factoring method, we have to find the divisors of all numbers
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
GCD of numbers is the greatest common divisor
So, the GCD (744, 693, 105, 812) = 1.
Given numbers are 744, 693, 105, 812
The list of prime factors of all numbers are
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 105 are 3 x 5 x 7
Prime factors of 812 are 2 x 2 x 7 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 744, 693, 105, 812
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(744, 693) = 171864
GCD(744, 693) = ( 744 x 693 ) / 171864
= 744 / 693
= 744
Step2:
LCM(3, 105) = 105
GCD(3, 105) = ( 3 x 105 ) / 105
= 3 / 105
= 3
Step3:
LCM(3, 812) = 2436
GCD(3, 812) = ( 3 x 812 ) / 2436
= 3 / 812
= 3
So, Greatest Common Divisor of 744, 693, 105, 812 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 744, 693, 105, 812
The greatest common divisor of numbers 744, 693, 105, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 693, 105, 812 is 1.
1. What is the GCD of 744, 693, 105, 812?
GCD of given numbers 744, 693, 105, 812 is 1
2. How to calculate the greatest common divisor of 744, 693, 105, 812?
We can find the highest common divisor of 744, 693, 105, 812 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 744, 693, 105, 812 i.e 1.
3. How can I use the GCD of 744, 693, 105, 812Calculator?
Out the numbers 744, 693, 105, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.