Online GCD Calculator is useful to find the GCD of 747, 403, 72 quickly. Get the easiest ways to solve the greatest common divisor of 747, 403, 72 i.e 1 in different methods as follows.
Given Input numbers are 747, 403, 72
In the factoring method, we have to find the divisors of all numbers
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 403 :
The positive integer divisors of 403 that completely divides 403 are.
1, 13, 31, 403
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
GCD of numbers is the greatest common divisor
So, the GCD (747, 403, 72) = 1.
Given numbers are 747, 403, 72
The list of prime factors of all numbers are
Prime factors of 747 are 3 x 3 x 83
Prime factors of 403 are 13 x 31
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 747, 403, 72
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(747, 403) = 301041
GCD(747, 403) = ( 747 x 403 ) / 301041
= 747 / 403
= 747
Step2:
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
= 1 / 72
= 1
So, Greatest Common Divisor of 747, 403, 72 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 747, 403, 72
The greatest common divisor of numbers 747, 403, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 403, 72 is 1.
1. What is the GCD of 747, 403, 72?
GCD of given numbers 747, 403, 72 is 1
2. How to calculate the greatest common divisor of 747, 403, 72?
We can find the highest common divisor of 747, 403, 72 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 747, 403, 72 i.e 1.
3. How can I use the GCD of 747, 403, 72Calculator?
Out the numbers 747, 403, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.