Online GCD Calculator is useful to find the GCD of 682, 242, 448, 286 quickly. Get the easiest ways to solve the greatest common divisor of 682, 242, 448, 286 i.e 2 in different methods as follows.
Given Input numbers are 682, 242, 448, 286
In the factoring method, we have to find the divisors of all numbers
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
GCD of numbers is the greatest common divisor
So, the GCD (682, 242, 448, 286) = 2.
Given numbers are 682, 242, 448, 286
The list of prime factors of all numbers are
Prime factors of 682 are 2 x 11 x 31
Prime factors of 242 are 2 x 11 x 11
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 286 are 2 x 11 x 13
The highest common occurrence is 21
Therefore, GCD of 682, 242, 448, 286 is 2.
Given numbers are 682, 242, 448, 286
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(682, 242) = 7502
GCD(682, 242) = ( 682 x 242 ) / 7502
= 682 / 242
= 682
Step2:
LCM(22, 448) = 4928
GCD(22, 448) = ( 22 x 448 ) / 4928
= 22 / 448
= 22
Step3:
LCM(2, 286) = 286
GCD(2, 286) = ( 2 x 286 ) / 286
= 2 / 286
= 2
So, Greatest Common Divisor of 682, 242, 448, 286 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 682, 242, 448, 286
The greatest common divisor of numbers 682, 242, 448, 286 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 242, 448, 286 is 2.
1. What is the GCD of 682, 242, 448, 286?
GCD of given numbers 682, 242, 448, 286 is 2
2. How to calculate the greatest common divisor of 682, 242, 448, 286?
We can find the highest common divisor of 682, 242, 448, 286 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 682, 242, 448, 286 i.e 2.
3. How can I use the GCD of 682, 242, 448, 286Calculator?
Out the numbers 682, 242, 448, 286 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.