Online GCD Calculator is useful to find the GCD of 268, 600, 303, 861 quickly. Get the easiest ways to solve the greatest common divisor of 268, 600, 303, 861 i.e 1 in different methods as follows.
Given Input numbers are 268, 600, 303, 861
In the factoring method, we have to find the divisors of all numbers
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
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 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
GCD of numbers is the greatest common divisor
So, the GCD (268, 600, 303, 861) = 1.
Given numbers are 268, 600, 303, 861
The list of prime factors of all numbers are
Prime factors of 268 are 2 x 2 x 67
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 303 are 3 x 101
Prime factors of 861 are 3 x 7 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 268, 600, 303, 861
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(268, 600) = 40200
GCD(268, 600) = ( 268 x 600 ) / 40200
= 268 / 600
= 268
Step2:
LCM(4, 303) = 1212
GCD(4, 303) = ( 4 x 303 ) / 1212
= 4 / 303
= 4
Step3:
LCM(1, 861) = 861
GCD(1, 861) = ( 1 x 861 ) / 861
= 1 / 861
= 1
So, Greatest Common Divisor of 268, 600, 303, 861 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 268, 600, 303, 861
The greatest common divisor of numbers 268, 600, 303, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 600, 303, 861 is 1.
1. What is the GCD of 268, 600, 303, 861?
GCD of given numbers 268, 600, 303, 861 is 1
2. How to calculate the greatest common divisor of 268, 600, 303, 861?
We can find the highest common divisor of 268, 600, 303, 861 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 268, 600, 303, 861 i.e 1.
3. How can I use the GCD of 268, 600, 303, 861Calculator?
Out the numbers 268, 600, 303, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.