Online GCD Calculator is useful to find the GCD of 724, 772, 212, 655 quickly. Get the easiest ways to solve the greatest common divisor of 724, 772, 212, 655 i.e 1 in different methods as follows.
Given Input numbers are 724, 772, 212, 655
In the factoring method, we have to find the divisors of all numbers
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 655 :
The positive integer divisors of 655 that completely divides 655 are.
1, 5, 131, 655
GCD of numbers is the greatest common divisor
So, the GCD (724, 772, 212, 655) = 1.
Given numbers are 724, 772, 212, 655
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 772 are 2 x 2 x 193
Prime factors of 212 are 2 x 2 x 53
Prime factors of 655 are 5 x 131
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 724, 772, 212, 655
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 772) = 139732
GCD(724, 772) = ( 724 x 772 ) / 139732
= 724 / 772
= 724
Step2:
LCM(4, 212) = 212
GCD(4, 212) = ( 4 x 212 ) / 212
= 4 / 212
= 4
Step3:
LCM(4, 655) = 2620
GCD(4, 655) = ( 4 x 655 ) / 2620
= 4 / 655
= 4
So, Greatest Common Divisor of 724, 772, 212, 655 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 724, 772, 212, 655
The greatest common divisor of numbers 724, 772, 212, 655 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 772, 212, 655 is 1.
1. What is the GCD of 724, 772, 212, 655?
GCD of given numbers 724, 772, 212, 655 is 1
2. How to calculate the greatest common divisor of 724, 772, 212, 655?
We can find the highest common divisor of 724, 772, 212, 655 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 724, 772, 212, 655 i.e 1.
3. How can I use the GCD of 724, 772, 212, 655Calculator?
Out the numbers 724, 772, 212, 655 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.