Online GCD Calculator is useful to find the GCD of 421, 331, 972, 272 quickly. Get the easiest ways to solve the greatest common divisor of 421, 331, 972, 272 i.e 1 in different methods as follows.
Given Input numbers are 421, 331, 972, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 331 :
The positive integer divisors of 331 that completely divides 331 are.
1, 331
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 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (421, 331, 972, 272) = 1.
Given numbers are 421, 331, 972, 272
The list of prime factors of all numbers are
Prime factors of 421 are 421
Prime factors of 331 are 331
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 421, 331, 972, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(421, 331) = 139351
GCD(421, 331) = ( 421 x 331 ) / 139351
= 421 / 331
= 421
Step2:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
Step3:
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
= 1 / 272
= 1
So, Greatest Common Divisor of 421, 331, 972, 272 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 421, 331, 972, 272
The greatest common divisor of numbers 421, 331, 972, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 331, 972, 272 is 1.
1. What is the GCD of 421, 331, 972, 272?
GCD of given numbers 421, 331, 972, 272 is 1
2. How to calculate the greatest common divisor of 421, 331, 972, 272?
We can find the highest common divisor of 421, 331, 972, 272 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 421, 331, 972, 272 i.e 1.
3. How can I use the GCD of 421, 331, 972, 272Calculator?
Out the numbers 421, 331, 972, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.