Online GCD Calculator is useful to find the GCD of 440, 242, 38, 426 quickly. Get the easiest ways to solve the greatest common divisor of 440, 242, 38, 426 i.e 2 in different methods as follows.
Given Input numbers are 440, 242, 38, 426
In the factoring method, we have to find the divisors of all numbers
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 38 :
The positive integer divisors of 38 that completely divides 38 are.
1, 2, 19, 38
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
GCD of numbers is the greatest common divisor
So, the GCD (440, 242, 38, 426) = 2.
Given numbers are 440, 242, 38, 426
The list of prime factors of all numbers are
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 242 are 2 x 11 x 11
Prime factors of 38 are 2 x 19
Prime factors of 426 are 2 x 3 x 71
The highest common occurrence is 21
Therefore, GCD of 440, 242, 38, 426 is 2.
Given numbers are 440, 242, 38, 426
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(440, 242) = 4840
GCD(440, 242) = ( 440 x 242 ) / 4840
= 440 / 242
= 440
Step2:
LCM(22, 38) = 418
GCD(22, 38) = ( 22 x 38 ) / 418
= 22 / 38
= 22
Step3:
LCM(2, 426) = 426
GCD(2, 426) = ( 2 x 426 ) / 426
= 2 / 426
= 2
So, Greatest Common Divisor of 440, 242, 38, 426 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 440, 242, 38, 426
The greatest common divisor of numbers 440, 242, 38, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 242, 38, 426 is 2.
1. What is the GCD of 440, 242, 38, 426?
GCD of given numbers 440, 242, 38, 426 is 2
2. How to calculate the greatest common divisor of 440, 242, 38, 426?
We can find the highest common divisor of 440, 242, 38, 426 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 440, 242, 38, 426 i.e 2.
3. How can I use the GCD of 440, 242, 38, 426Calculator?
Out the numbers 440, 242, 38, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.