Online GCD Calculator is useful to find the GCD of 820, 744, 814, 338 quickly. Get the easiest ways to solve the greatest common divisor of 820, 744, 814, 338 i.e 2 in different methods as follows.
Given Input numbers are 820, 744, 814, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (820, 744, 814, 338) = 2.
Given numbers are 820, 744, 814, 338
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 814 are 2 x 11 x 37
Prime factors of 338 are 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 820, 744, 814, 338 is 2.
Given numbers are 820, 744, 814, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 744) = 152520
GCD(820, 744) = ( 820 x 744 ) / 152520
= 820 / 744
= 820
Step2:
LCM(4, 814) = 1628
GCD(4, 814) = ( 4 x 814 ) / 1628
= 4 / 814
= 4
Step3:
LCM(2, 338) = 338
GCD(2, 338) = ( 2 x 338 ) / 338
= 2 / 338
= 2
So, Greatest Common Divisor of 820, 744, 814, 338 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 744, 814, 338
The greatest common divisor of numbers 820, 744, 814, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 744, 814, 338 is 2.
1. What is the GCD of 820, 744, 814, 338?
GCD of given numbers 820, 744, 814, 338 is 2
2. How to calculate the greatest common divisor of 820, 744, 814, 338?
We can find the highest common divisor of 820, 744, 814, 338 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 820, 744, 814, 338 i.e 2.
3. How can I use the GCD of 820, 744, 814, 338Calculator?
Out the numbers 820, 744, 814, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.