Online GCD Calculator is useful to find the GCD of 838, 756, 474, 986 quickly. Get the easiest ways to solve the greatest common divisor of 838, 756, 474, 986 i.e 2 in different methods as follows.
Given Input numbers are 838, 756, 474, 986
In the factoring method, we have to find the divisors of all numbers
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
GCD of numbers is the greatest common divisor
So, the GCD (838, 756, 474, 986) = 2.
Given numbers are 838, 756, 474, 986
The list of prime factors of all numbers are
Prime factors of 838 are 2 x 419
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 474 are 2 x 3 x 79
Prime factors of 986 are 2 x 17 x 29
The highest common occurrence is 21
Therefore, GCD of 838, 756, 474, 986 is 2.
Given numbers are 838, 756, 474, 986
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(838, 756) = 316764
GCD(838, 756) = ( 838 x 756 ) / 316764
= 838 / 756
= 838
Step2:
LCM(2, 474) = 474
GCD(2, 474) = ( 2 x 474 ) / 474
= 2 / 474
= 2
Step3:
LCM(2, 986) = 986
GCD(2, 986) = ( 2 x 986 ) / 986
= 2 / 986
= 2
So, Greatest Common Divisor of 838, 756, 474, 986 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 838, 756, 474, 986
The greatest common divisor of numbers 838, 756, 474, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 756, 474, 986 is 2.
1. What is the GCD of 838, 756, 474, 986?
GCD of given numbers 838, 756, 474, 986 is 2
2. How to calculate the greatest common divisor of 838, 756, 474, 986?
We can find the highest common divisor of 838, 756, 474, 986 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 838, 756, 474, 986 i.e 2.
3. How can I use the GCD of 838, 756, 474, 986Calculator?
Out the numbers 838, 756, 474, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.