Online GCD Calculator is useful to find the GCD of 642, 686, 916, 322 quickly. Get the easiest ways to solve the greatest common divisor of 642, 686, 916, 322 i.e 2 in different methods as follows.
Given Input numbers are 642, 686, 916, 322
In the factoring method, we have to find the divisors of all numbers
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
GCD of numbers is the greatest common divisor
So, the GCD (642, 686, 916, 322) = 2.
Given numbers are 642, 686, 916, 322
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 916 are 2 x 2 x 229
Prime factors of 322 are 2 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 642, 686, 916, 322 is 2.
Given numbers are 642, 686, 916, 322
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 686) = 220206
GCD(642, 686) = ( 642 x 686 ) / 220206
= 642 / 686
= 642
Step2:
LCM(2, 916) = 916
GCD(2, 916) = ( 2 x 916 ) / 916
= 2 / 916
= 2
Step3:
LCM(2, 322) = 322
GCD(2, 322) = ( 2 x 322 ) / 322
= 2 / 322
= 2
So, Greatest Common Divisor of 642, 686, 916, 322 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 686, 916, 322
The greatest common divisor of numbers 642, 686, 916, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 686, 916, 322 is 2.
1. What is the GCD of 642, 686, 916, 322?
GCD of given numbers 642, 686, 916, 322 is 2
2. How to calculate the greatest common divisor of 642, 686, 916, 322?
We can find the highest common divisor of 642, 686, 916, 322 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 642, 686, 916, 322 i.e 2.
3. How can I use the GCD of 642, 686, 916, 322Calculator?
Out the numbers 642, 686, 916, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.