Online GCD Calculator is useful to find the GCD of 972, 614, 318, 241 quickly. Get the easiest ways to solve the greatest common divisor of 972, 614, 318, 241 i.e 1 in different methods as follows.
Given Input numbers are 972, 614, 318, 241
In the factoring method, we have to find the divisors of all numbers
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 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 241 :
The positive integer divisors of 241 that completely divides 241 are.
1, 241
GCD of numbers is the greatest common divisor
So, the GCD (972, 614, 318, 241) = 1.
Given numbers are 972, 614, 318, 241
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 614 are 2 x 307
Prime factors of 318 are 2 x 3 x 53
Prime factors of 241 are 241
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 614, 318, 241
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 614) = 298404
GCD(972, 614) = ( 972 x 614 ) / 298404
= 972 / 614
= 972
Step2:
LCM(2, 318) = 318
GCD(2, 318) = ( 2 x 318 ) / 318
= 2 / 318
= 2
Step3:
LCM(2, 241) = 482
GCD(2, 241) = ( 2 x 241 ) / 482
= 2 / 241
= 2
So, Greatest Common Divisor of 972, 614, 318, 241 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 614, 318, 241
The greatest common divisor of numbers 972, 614, 318, 241 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 614, 318, 241 is 1.
1. What is the GCD of 972, 614, 318, 241?
GCD of given numbers 972, 614, 318, 241 is 1
2. How to calculate the greatest common divisor of 972, 614, 318, 241?
We can find the highest common divisor of 972, 614, 318, 241 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 972, 614, 318, 241 i.e 1.
3. How can I use the GCD of 972, 614, 318, 241Calculator?
Out the numbers 972, 614, 318, 241 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.