Online GCD Calculator is useful to find the GCD of 461, 708, 72 quickly. Get the easiest ways to solve the greatest common divisor of 461, 708, 72 i.e 1 in different methods as follows.
Given Input numbers are 461, 708, 72
In the factoring method, we have to find the divisors of all numbers
Divisors of 461 :
The positive integer divisors of 461 that completely divides 461 are.
1, 461
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
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 (461, 708, 72) = 1.
Given numbers are 461, 708, 72
The list of prime factors of all numbers are
Prime factors of 461 are 461
Prime factors of 708 are 2 x 2 x 3 x 59
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 461, 708, 72
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(461, 708) = 326388
GCD(461, 708) = ( 461 x 708 ) / 326388
= 461 / 708
= 461
Step2:
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
= 1 / 72
= 1
So, Greatest Common Divisor of 461, 708, 72 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 461, 708, 72
The greatest common divisor of numbers 461, 708, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 461, 708, 72 is 1.
1. What is the GCD of 461, 708, 72?
GCD of given numbers 461, 708, 72 is 1
2. How to calculate the greatest common divisor of 461, 708, 72?
We can find the highest common divisor of 461, 708, 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 461, 708, 72 i.e 1.
3. How can I use the GCD of 461, 708, 72Calculator?
Out the numbers 461, 708, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.