Online GCD Calculator is useful to find the GCD of 836, 182, 898, 674 quickly. Get the easiest ways to solve the greatest common divisor of 836, 182, 898, 674 i.e 2 in different methods as follows.
Given Input numbers are 836, 182, 898, 674
In the factoring method, we have to find the divisors of all numbers
Divisors of 836 :
The positive integer divisors of 836 that completely divides 836 are.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
GCD of numbers is the greatest common divisor
So, the GCD (836, 182, 898, 674) = 2.
Given numbers are 836, 182, 898, 674
The list of prime factors of all numbers are
Prime factors of 836 are 2 x 2 x 11 x 19
Prime factors of 182 are 2 x 7 x 13
Prime factors of 898 are 2 x 449
Prime factors of 674 are 2 x 337
The highest common occurrence is 21
Therefore, GCD of 836, 182, 898, 674 is 2.
Given numbers are 836, 182, 898, 674
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(836, 182) = 76076
GCD(836, 182) = ( 836 x 182 ) / 76076
= 836 / 182
= 836
Step2:
LCM(2, 898) = 898
GCD(2, 898) = ( 2 x 898 ) / 898
= 2 / 898
= 2
Step3:
LCM(2, 674) = 674
GCD(2, 674) = ( 2 x 674 ) / 674
= 2 / 674
= 2
So, Greatest Common Divisor of 836, 182, 898, 674 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 836, 182, 898, 674
The greatest common divisor of numbers 836, 182, 898, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 836, 182, 898, 674 is 2.
1. What is the GCD of 836, 182, 898, 674?
GCD of given numbers 836, 182, 898, 674 is 2
2. How to calculate the greatest common divisor of 836, 182, 898, 674?
We can find the highest common divisor of 836, 182, 898, 674 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 836, 182, 898, 674 i.e 2.
3. How can I use the GCD of 836, 182, 898, 674Calculator?
Out the numbers 836, 182, 898, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.