Online GCD Calculator is useful to find the GCD of 438, 196, 434, 124 quickly. Get the easiest ways to solve the greatest common divisor of 438, 196, 434, 124 i.e 2 in different methods as follows.
Given Input numbers are 438, 196, 434, 124
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 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
GCD of numbers is the greatest common divisor
So, the GCD (438, 196, 434, 124) = 2.
Given numbers are 438, 196, 434, 124
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 434 are 2 x 7 x 31
Prime factors of 124 are 2 x 2 x 31
The highest common occurrence is 21
Therefore, GCD of 438, 196, 434, 124 is 2.
Given numbers are 438, 196, 434, 124
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 196) = 42924
GCD(438, 196) = ( 438 x 196 ) / 42924
= 438 / 196
= 438
Step2:
LCM(2, 434) = 434
GCD(2, 434) = ( 2 x 434 ) / 434
= 2 / 434
= 2
Step3:
LCM(2, 124) = 124
GCD(2, 124) = ( 2 x 124 ) / 124
= 2 / 124
= 2
So, Greatest Common Divisor of 438, 196, 434, 124 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 196, 434, 124
The greatest common divisor of numbers 438, 196, 434, 124 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 196, 434, 124 is 2.
1. What is the GCD of 438, 196, 434, 124?
GCD of given numbers 438, 196, 434, 124 is 2
2. How to calculate the greatest common divisor of 438, 196, 434, 124?
We can find the highest common divisor of 438, 196, 434, 124 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, 196, 434, 124 i.e 2.
3. How can I use the GCD of 438, 196, 434, 124Calculator?
Out the numbers 438, 196, 434, 124 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.