Online GCD Calculator is useful to find the GCD of 374, 642, 316, 836 quickly. Get the easiest ways to solve the greatest common divisor of 374, 642, 316, 836 i.e 2 in different methods as follows.
Given Input numbers are 374, 642, 316, 836
In the factoring method, we have to find the divisors of all numbers
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
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
GCD of numbers is the greatest common divisor
So, the GCD (374, 642, 316, 836) = 2.
Given numbers are 374, 642, 316, 836
The list of prime factors of all numbers are
Prime factors of 374 are 2 x 11 x 17
Prime factors of 642 are 2 x 3 x 107
Prime factors of 316 are 2 x 2 x 79
Prime factors of 836 are 2 x 2 x 11 x 19
The highest common occurrence is 21
Therefore, GCD of 374, 642, 316, 836 is 2.
Given numbers are 374, 642, 316, 836
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(374, 642) = 120054
GCD(374, 642) = ( 374 x 642 ) / 120054
= 374 / 642
= 374
Step2:
LCM(2, 316) = 316
GCD(2, 316) = ( 2 x 316 ) / 316
= 2 / 316
= 2
Step3:
LCM(2, 836) = 836
GCD(2, 836) = ( 2 x 836 ) / 836
= 2 / 836
= 2
So, Greatest Common Divisor of 374, 642, 316, 836 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 374, 642, 316, 836
The greatest common divisor of numbers 374, 642, 316, 836 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 642, 316, 836 is 2.
1. What is the GCD of 374, 642, 316, 836?
GCD of given numbers 374, 642, 316, 836 is 2
2. How to calculate the greatest common divisor of 374, 642, 316, 836?
We can find the highest common divisor of 374, 642, 316, 836 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 374, 642, 316, 836 i.e 2.
3. How can I use the GCD of 374, 642, 316, 836Calculator?
Out the numbers 374, 642, 316, 836 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.