Online GCD Calculator is useful to find the GCD of 462, 341, 962, 172 quickly. Get the easiest ways to solve the greatest common divisor of 462, 341, 962, 172 i.e 1 in different methods as follows.
Given Input numbers are 462, 341, 962, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 341 :
The positive integer divisors of 341 that completely divides 341 are.
1, 11, 31, 341
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (462, 341, 962, 172) = 1.
Given numbers are 462, 341, 962, 172
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 341 are 11 x 31
Prime factors of 962 are 2 x 13 x 37
Prime factors of 172 are 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 462, 341, 962, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 341) = 14322
GCD(462, 341) = ( 462 x 341 ) / 14322
= 462 / 341
= 462
Step2:
LCM(11, 962) = 10582
GCD(11, 962) = ( 11 x 962 ) / 10582
= 11 / 962
= 11
Step3:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
So, Greatest Common Divisor of 462, 341, 962, 172 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 341, 962, 172
The greatest common divisor of numbers 462, 341, 962, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 341, 962, 172 is 1.
1. What is the GCD of 462, 341, 962, 172?
GCD of given numbers 462, 341, 962, 172 is 1
2. How to calculate the greatest common divisor of 462, 341, 962, 172?
We can find the highest common divisor of 462, 341, 962, 172 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 462, 341, 962, 172 i.e 1.
3. How can I use the GCD of 462, 341, 962, 172Calculator?
Out the numbers 462, 341, 962, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.