Online GCD Calculator is useful to find the GCD of 972, 717, 346, 359 quickly. Get the easiest ways to solve the greatest common divisor of 972, 717, 346, 359 i.e 1 in different methods as follows.
Given Input numbers are 972, 717, 346, 359
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 717 :
The positive integer divisors of 717 that completely divides 717 are.
1, 3, 239, 717
Divisors of 346 :
The positive integer divisors of 346 that completely divides 346 are.
1, 2, 173, 346
Divisors of 359 :
The positive integer divisors of 359 that completely divides 359 are.
1, 359
GCD of numbers is the greatest common divisor
So, the GCD (972, 717, 346, 359) = 1.
Given numbers are 972, 717, 346, 359
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 717 are 3 x 239
Prime factors of 346 are 2 x 173
Prime factors of 359 are 359
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 717, 346, 359
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 717) = 232308
GCD(972, 717) = ( 972 x 717 ) / 232308
= 972 / 717
= 972
Step2:
LCM(3, 346) = 1038
GCD(3, 346) = ( 3 x 346 ) / 1038
= 3 / 346
= 3
Step3:
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
= 1 / 359
= 1
So, Greatest Common Divisor of 972, 717, 346, 359 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 717, 346, 359
The greatest common divisor of numbers 972, 717, 346, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 717, 346, 359 is 1.
1. What is the GCD of 972, 717, 346, 359?
GCD of given numbers 972, 717, 346, 359 is 1
2. How to calculate the greatest common divisor of 972, 717, 346, 359?
We can find the highest common divisor of 972, 717, 346, 359 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, 717, 346, 359 i.e 1.
3. How can I use the GCD of 972, 717, 346, 359Calculator?
Out the numbers 972, 717, 346, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.