Online GCD Calculator is useful to find the GCD of 242, 306, 486, 676 quickly. Get the easiest ways to solve the greatest common divisor of 242, 306, 486, 676 i.e 2 in different methods as follows.
Given Input numbers are 242, 306, 486, 676
In the factoring method, we have to find the divisors of all numbers
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
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 (242, 306, 486, 676) = 2.
Given numbers are 242, 306, 486, 676
The list of prime factors of all numbers are
Prime factors of 242 are 2 x 11 x 11
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 676 are 2 x 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 242, 306, 486, 676 is 2.
Given numbers are 242, 306, 486, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(242, 306) = 37026
GCD(242, 306) = ( 242 x 306 ) / 37026
= 242 / 306
= 242
Step2:
LCM(2, 486) = 486
GCD(2, 486) = ( 2 x 486 ) / 486
= 2 / 486
= 2
Step3:
LCM(2, 676) = 676
GCD(2, 676) = ( 2 x 676 ) / 676
= 2 / 676
= 2
So, Greatest Common Divisor of 242, 306, 486, 676 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 242, 306, 486, 676
The greatest common divisor of numbers 242, 306, 486, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 306, 486, 676 is 2.
1. What is the GCD of 242, 306, 486, 676?
GCD of given numbers 242, 306, 486, 676 is 2
2. How to calculate the greatest common divisor of 242, 306, 486, 676?
We can find the highest common divisor of 242, 306, 486, 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 242, 306, 486, 676 i.e 2.
3. How can I use the GCD of 242, 306, 486, 676Calculator?
Out the numbers 242, 306, 486, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.