Online GCD Calculator is useful to find the GCD of 600, 326, 714, 242 quickly. Get the easiest ways to solve the greatest common divisor of 600, 326, 714, 242 i.e 2 in different methods as follows.
Given Input numbers are 600, 326, 714, 242
In the factoring method, we have to find the divisors of all numbers
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 326 :
The positive integer divisors of 326 that completely divides 326 are.
1, 2, 163, 326
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
GCD of numbers is the greatest common divisor
So, the GCD (600, 326, 714, 242) = 2.
Given numbers are 600, 326, 714, 242
The list of prime factors of all numbers are
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 326 are 2 x 163
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 242 are 2 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 600, 326, 714, 242 is 2.
Given numbers are 600, 326, 714, 242
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 326) = 97800
GCD(600, 326) = ( 600 x 326 ) / 97800
= 600 / 326
= 600
Step2:
LCM(2, 714) = 714
GCD(2, 714) = ( 2 x 714 ) / 714
= 2 / 714
= 2
Step3:
LCM(2, 242) = 242
GCD(2, 242) = ( 2 x 242 ) / 242
= 2 / 242
= 2
So, Greatest Common Divisor of 600, 326, 714, 242 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 326, 714, 242
The greatest common divisor of numbers 600, 326, 714, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 326, 714, 242 is 2.
1. What is the GCD of 600, 326, 714, 242?
GCD of given numbers 600, 326, 714, 242 is 2
2. How to calculate the greatest common divisor of 600, 326, 714, 242?
We can find the highest common divisor of 600, 326, 714, 242 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 600, 326, 714, 242 i.e 2.
3. How can I use the GCD of 600, 326, 714, 242Calculator?
Out the numbers 600, 326, 714, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.