Online GCD Calculator is useful to find the GCD of 438, 837, 978, 426 quickly. Get the easiest ways to solve the greatest common divisor of 438, 837, 978, 426 i.e 3 in different methods as follows.
Given Input numbers are 438, 837, 978, 426
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 837 :
The positive integer divisors of 837 that completely divides 837 are.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
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 (438, 837, 978, 426) = 3.
Given numbers are 438, 837, 978, 426
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 837 are 3 x 3 x 3 x 31
Prime factors of 978 are 2 x 3 x 163
Prime factors of 426 are 2 x 3 x 71
The highest common occurrence is 31
Therefore, GCD of 438, 837, 978, 426 is 3.
Given numbers are 438, 837, 978, 426
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 837) = 122202
GCD(438, 837) = ( 438 x 837 ) / 122202
= 438 / 837
= 438
Step2:
LCM(3, 978) = 978
GCD(3, 978) = ( 3 x 978 ) / 978
= 3 / 978
= 3
Step3:
LCM(3, 426) = 426
GCD(3, 426) = ( 3 x 426 ) / 426
= 3 / 426
= 3
So, Greatest Common Divisor of 438, 837, 978, 426 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 837, 978, 426
The greatest common divisor of numbers 438, 837, 978, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 837, 978, 426 is 3.
1. What is the GCD of 438, 837, 978, 426?
GCD of given numbers 438, 837, 978, 426 is 3
2. How to calculate the greatest common divisor of 438, 837, 978, 426?
We can find the highest common divisor of 438, 837, 978, 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 438, 837, 978, 426 i.e 3.
3. How can I use the GCD of 438, 837, 978, 426Calculator?
Out the numbers 438, 837, 978, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.