Online GCD Calculator is useful to find the GCD of 316, 642, 840, 108 quickly. Get the easiest ways to solve the greatest common divisor of 316, 642, 840, 108 i.e 2 in different methods as follows.
Given Input numbers are 316, 642, 840, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (316, 642, 840, 108) = 2.
Given numbers are 316, 642, 840, 108
The list of prime factors of all numbers are
Prime factors of 316 are 2 x 2 x 79
Prime factors of 642 are 2 x 3 x 107
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 316, 642, 840, 108 is 2.
Given numbers are 316, 642, 840, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(316, 642) = 101436
GCD(316, 642) = ( 316 x 642 ) / 101436
= 316 / 642
= 316
Step2:
LCM(2, 840) = 840
GCD(2, 840) = ( 2 x 840 ) / 840
= 2 / 840
= 2
Step3:
LCM(2, 108) = 108
GCD(2, 108) = ( 2 x 108 ) / 108
= 2 / 108
= 2
So, Greatest Common Divisor of 316, 642, 840, 108 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 316, 642, 840, 108
The greatest common divisor of numbers 316, 642, 840, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 642, 840, 108 is 2.
1. What is the GCD of 316, 642, 840, 108?
GCD of given numbers 316, 642, 840, 108 is 2
2. How to calculate the greatest common divisor of 316, 642, 840, 108?
We can find the highest common divisor of 316, 642, 840, 108 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 316, 642, 840, 108 i.e 2.
3. How can I use the GCD of 316, 642, 840, 108Calculator?
Out the numbers 316, 642, 840, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.