Online GCD Calculator is useful to find the GCD of 398, 354, 122, 946 quickly. Get the easiest ways to solve the greatest common divisor of 398, 354, 122, 946 i.e 2 in different methods as follows.
Given Input numbers are 398, 354, 122, 946
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
GCD of numbers is the greatest common divisor
So, the GCD (398, 354, 122, 946) = 2.
Given numbers are 398, 354, 122, 946
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 354 are 2 x 3 x 59
Prime factors of 122 are 2 x 61
Prime factors of 946 are 2 x 11 x 43
The highest common occurrence is 21
Therefore, GCD of 398, 354, 122, 946 is 2.
Given numbers are 398, 354, 122, 946
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 354) = 70446
GCD(398, 354) = ( 398 x 354 ) / 70446
= 398 / 354
= 398
Step2:
LCM(2, 122) = 122
GCD(2, 122) = ( 2 x 122 ) / 122
= 2 / 122
= 2
Step3:
LCM(2, 946) = 946
GCD(2, 946) = ( 2 x 946 ) / 946
= 2 / 946
= 2
So, Greatest Common Divisor of 398, 354, 122, 946 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 354, 122, 946
The greatest common divisor of numbers 398, 354, 122, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 354, 122, 946 is 2.
1. What is the GCD of 398, 354, 122, 946?
GCD of given numbers 398, 354, 122, 946 is 2
2. How to calculate the greatest common divisor of 398, 354, 122, 946?
We can find the highest common divisor of 398, 354, 122, 946 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 398, 354, 122, 946 i.e 2.
3. How can I use the GCD of 398, 354, 122, 946Calculator?
Out the numbers 398, 354, 122, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.