Online GCD Calculator is useful to find the GCD of 491, 198, 344, 972 quickly. Get the easiest ways to solve the greatest common divisor of 491, 198, 344, 972 i.e 1 in different methods as follows.
Given Input numbers are 491, 198, 344, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 491 :
The positive integer divisors of 491 that completely divides 491 are.
1, 491
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
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
GCD of numbers is the greatest common divisor
So, the GCD (491, 198, 344, 972) = 1.
Given numbers are 491, 198, 344, 972
The list of prime factors of all numbers are
Prime factors of 491 are 491
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 491, 198, 344, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(491, 198) = 97218
GCD(491, 198) = ( 491 x 198 ) / 97218
= 491 / 198
= 491
Step2:
LCM(1, 344) = 344
GCD(1, 344) = ( 1 x 344 ) / 344
= 1 / 344
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 491, 198, 344, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 491, 198, 344, 972
The greatest common divisor of numbers 491, 198, 344, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 491, 198, 344, 972 is 1.
1. What is the GCD of 491, 198, 344, 972?
GCD of given numbers 491, 198, 344, 972 is 1
2. How to calculate the greatest common divisor of 491, 198, 344, 972?
We can find the highest common divisor of 491, 198, 344, 972 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 491, 198, 344, 972 i.e 1.
3. How can I use the GCD of 491, 198, 344, 972Calculator?
Out the numbers 491, 198, 344, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.