Online GCD Calculator is useful to find the GCD of 438, 650, 468, 122 quickly. Get the easiest ways to solve the greatest common divisor of 438, 650, 468, 122 i.e 2 in different methods as follows.
Given Input numbers are 438, 650, 468, 122
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 650 :
The positive integer divisors of 650 that completely divides 650 are.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
GCD of numbers is the greatest common divisor
So, the GCD (438, 650, 468, 122) = 2.
Given numbers are 438, 650, 468, 122
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 650 are 2 x 5 x 5 x 13
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 122 are 2 x 61
The highest common occurrence is 21
Therefore, GCD of 438, 650, 468, 122 is 2.
Given numbers are 438, 650, 468, 122
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 650) = 142350
GCD(438, 650) = ( 438 x 650 ) / 142350
= 438 / 650
= 438
Step2:
LCM(2, 468) = 468
GCD(2, 468) = ( 2 x 468 ) / 468
= 2 / 468
= 2
Step3:
LCM(2, 122) = 122
GCD(2, 122) = ( 2 x 122 ) / 122
= 2 / 122
= 2
So, Greatest Common Divisor of 438, 650, 468, 122 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 650, 468, 122
The greatest common divisor of numbers 438, 650, 468, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 650, 468, 122 is 2.
1. What is the GCD of 438, 650, 468, 122?
GCD of given numbers 438, 650, 468, 122 is 2
2. How to calculate the greatest common divisor of 438, 650, 468, 122?
We can find the highest common divisor of 438, 650, 468, 122 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 438, 650, 468, 122 i.e 2.
3. How can I use the GCD of 438, 650, 468, 122Calculator?
Out the numbers 438, 650, 468, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.