Online GCD Calculator is useful to find the GCD of 212, 342, 436, 676 quickly. Get the easiest ways to solve the greatest common divisor of 212, 342, 436, 676 i.e 2 in different methods as follows.
Given Input numbers are 212, 342, 436, 676
In the factoring method, we have to find the divisors of all numbers
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
GCD of numbers is the greatest common divisor
So, the GCD (212, 342, 436, 676) = 2.
Given numbers are 212, 342, 436, 676
The list of prime factors of all numbers are
Prime factors of 212 are 2 x 2 x 53
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 436 are 2 x 2 x 109
Prime factors of 676 are 2 x 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 212, 342, 436, 676 is 2.
Given numbers are 212, 342, 436, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(212, 342) = 36252
GCD(212, 342) = ( 212 x 342 ) / 36252
= 212 / 342
= 212
Step2:
LCM(2, 436) = 436
GCD(2, 436) = ( 2 x 436 ) / 436
= 2 / 436
= 2
Step3:
LCM(2, 676) = 676
GCD(2, 676) = ( 2 x 676 ) / 676
= 2 / 676
= 2
So, Greatest Common Divisor of 212, 342, 436, 676 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 212, 342, 436, 676
The greatest common divisor of numbers 212, 342, 436, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 342, 436, 676 is 2.
1. What is the GCD of 212, 342, 436, 676?
GCD of given numbers 212, 342, 436, 676 is 2
2. How to calculate the greatest common divisor of 212, 342, 436, 676?
We can find the highest common divisor of 212, 342, 436, 676 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 212, 342, 436, 676 i.e 2.
3. How can I use the GCD of 212, 342, 436, 676Calculator?
Out the numbers 212, 342, 436, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.