Online GCD Calculator is useful to find the GCD of 990, 438, 343, 962 quickly. Get the easiest ways to solve the greatest common divisor of 990, 438, 343, 962 i.e 1 in different methods as follows.
Given Input numbers are 990, 438, 343, 962
In the factoring method, we have to find the divisors of all numbers
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
GCD of numbers is the greatest common divisor
So, the GCD (990, 438, 343, 962) = 1.
Given numbers are 990, 438, 343, 962
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 438 are 2 x 3 x 73
Prime factors of 343 are 7 x 7 x 7
Prime factors of 962 are 2 x 13 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 990, 438, 343, 962
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 438) = 72270
GCD(990, 438) = ( 990 x 438 ) / 72270
= 990 / 438
= 990
Step2:
LCM(6, 343) = 2058
GCD(6, 343) = ( 6 x 343 ) / 2058
= 6 / 343
= 6
Step3:
LCM(1, 962) = 962
GCD(1, 962) = ( 1 x 962 ) / 962
= 1 / 962
= 1
So, Greatest Common Divisor of 990, 438, 343, 962 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 438, 343, 962
The greatest common divisor of numbers 990, 438, 343, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 438, 343, 962 is 1.
1. What is the GCD of 990, 438, 343, 962?
GCD of given numbers 990, 438, 343, 962 is 1
2. How to calculate the greatest common divisor of 990, 438, 343, 962?
We can find the highest common divisor of 990, 438, 343, 962 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 990, 438, 343, 962 i.e 1.
3. How can I use the GCD of 990, 438, 343, 962Calculator?
Out the numbers 990, 438, 343, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.