Online GCD Calculator is useful to find the GCD of 792, 722, 438, 749 quickly. Get the easiest ways to solve the greatest common divisor of 792, 722, 438, 749 i.e 1 in different methods as follows.
Given Input numbers are 792, 722, 438, 749
In the factoring method, we have to find the divisors of all numbers
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
GCD of numbers is the greatest common divisor
So, the GCD (792, 722, 438, 749) = 1.
Given numbers are 792, 722, 438, 749
The list of prime factors of all numbers are
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 722 are 2 x 19 x 19
Prime factors of 438 are 2 x 3 x 73
Prime factors of 749 are 7 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 792, 722, 438, 749
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(792, 722) = 285912
GCD(792, 722) = ( 792 x 722 ) / 285912
= 792 / 722
= 792
Step2:
LCM(2, 438) = 438
GCD(2, 438) = ( 2 x 438 ) / 438
= 2 / 438
= 2
Step3:
LCM(2, 749) = 1498
GCD(2, 749) = ( 2 x 749 ) / 1498
= 2 / 749
= 2
So, Greatest Common Divisor of 792, 722, 438, 749 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 792, 722, 438, 749
The greatest common divisor of numbers 792, 722, 438, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 722, 438, 749 is 1.
1. What is the GCD of 792, 722, 438, 749?
GCD of given numbers 792, 722, 438, 749 is 1
2. How to calculate the greatest common divisor of 792, 722, 438, 749?
We can find the highest common divisor of 792, 722, 438, 749 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 792, 722, 438, 749 i.e 1.
3. How can I use the GCD of 792, 722, 438, 749Calculator?
Out the numbers 792, 722, 438, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.