Online GCD Calculator is useful to find the GCD of 318, 972, 217, 613 quickly. Get the easiest ways to solve the greatest common divisor of 318, 972, 217, 613 i.e 1 in different methods as follows.
Given Input numbers are 318, 972, 217, 613
In the factoring method, we have to find the divisors of all numbers
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
Divisors of 613 :
The positive integer divisors of 613 that completely divides 613 are.
1, 613
GCD of numbers is the greatest common divisor
So, the GCD (318, 972, 217, 613) = 1.
Given numbers are 318, 972, 217, 613
The list of prime factors of all numbers are
Prime factors of 318 are 2 x 3 x 53
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 217 are 7 x 31
Prime factors of 613 are 613
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 318, 972, 217, 613
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(318, 972) = 51516
GCD(318, 972) = ( 318 x 972 ) / 51516
= 318 / 972
= 318
Step2:
LCM(6, 217) = 1302
GCD(6, 217) = ( 6 x 217 ) / 1302
= 6 / 217
= 6
Step3:
LCM(1, 613) = 613
GCD(1, 613) = ( 1 x 613 ) / 613
= 1 / 613
= 1
So, Greatest Common Divisor of 318, 972, 217, 613 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 318, 972, 217, 613
The greatest common divisor of numbers 318, 972, 217, 613 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 972, 217, 613 is 1.
1. What is the GCD of 318, 972, 217, 613?
GCD of given numbers 318, 972, 217, 613 is 1
2. How to calculate the greatest common divisor of 318, 972, 217, 613?
We can find the highest common divisor of 318, 972, 217, 613 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 318, 972, 217, 613 i.e 1.
3. How can I use the GCD of 318, 972, 217, 613Calculator?
Out the numbers 318, 972, 217, 613 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.