Online GCD Calculator is useful to find the GCD of 823, 132, 747, 465 quickly. Get the easiest ways to solve the greatest common divisor of 823, 132, 747, 465 i.e 1 in different methods as follows.
Given Input numbers are 823, 132, 747, 465
In the factoring method, we have to find the divisors of all numbers
Divisors of 823 :
The positive integer divisors of 823 that completely divides 823 are.
1, 823
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
GCD of numbers is the greatest common divisor
So, the GCD (823, 132, 747, 465) = 1.
Given numbers are 823, 132, 747, 465
The list of prime factors of all numbers are
Prime factors of 823 are 823
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 747 are 3 x 3 x 83
Prime factors of 465 are 3 x 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 823, 132, 747, 465
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(823, 132) = 108636
GCD(823, 132) = ( 823 x 132 ) / 108636
= 823 / 132
= 823
Step2:
LCM(1, 747) = 747
GCD(1, 747) = ( 1 x 747 ) / 747
= 1 / 747
= 1
Step3:
LCM(1, 465) = 465
GCD(1, 465) = ( 1 x 465 ) / 465
= 1 / 465
= 1
So, Greatest Common Divisor of 823, 132, 747, 465 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 823, 132, 747, 465
The greatest common divisor of numbers 823, 132, 747, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 823, 132, 747, 465 is 1.
1. What is the GCD of 823, 132, 747, 465?
GCD of given numbers 823, 132, 747, 465 is 1
2. How to calculate the greatest common divisor of 823, 132, 747, 465?
We can find the highest common divisor of 823, 132, 747, 465 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 823, 132, 747, 465 i.e 1.
3. How can I use the GCD of 823, 132, 747, 465Calculator?
Out the numbers 823, 132, 747, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.