Online GCD Calculator is useful to find the GCD of 384, 258, 122, 702 quickly. Get the easiest ways to solve the greatest common divisor of 384, 258, 122, 702 i.e 2 in different methods as follows.
Given Input numbers are 384, 258, 122, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
GCD of numbers is the greatest common divisor
So, the GCD (384, 258, 122, 702) = 2.
Given numbers are 384, 258, 122, 702
The list of prime factors of all numbers are
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 258 are 2 x 3 x 43
Prime factors of 122 are 2 x 61
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 384, 258, 122, 702 is 2.
Given numbers are 384, 258, 122, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 258) = 16512
GCD(384, 258) = ( 384 x 258 ) / 16512
= 384 / 258
= 384
Step2:
LCM(6, 122) = 366
GCD(6, 122) = ( 6 x 122 ) / 366
= 6 / 122
= 6
Step3:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
So, Greatest Common Divisor of 384, 258, 122, 702 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 258, 122, 702
The greatest common divisor of numbers 384, 258, 122, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 258, 122, 702 is 2.
1. What is the GCD of 384, 258, 122, 702?
GCD of given numbers 384, 258, 122, 702 is 2
2. How to calculate the greatest common divisor of 384, 258, 122, 702?
We can find the highest common divisor of 384, 258, 122, 702 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 384, 258, 122, 702 i.e 2.
3. How can I use the GCD of 384, 258, 122, 702Calculator?
Out the numbers 384, 258, 122, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.