Online GCD Calculator is useful to find the GCD of 600, 381, 628, 302 quickly. Get the easiest ways to solve the greatest common divisor of 600, 381, 628, 302 i.e 1 in different methods as follows.
Given Input numbers are 600, 381, 628, 302
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 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
GCD of numbers is the greatest common divisor
So, the GCD (600, 381, 628, 302) = 1.
Given numbers are 600, 381, 628, 302
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 381 are 3 x 127
Prime factors of 628 are 2 x 2 x 157
Prime factors of 302 are 2 x 151
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 600, 381, 628, 302
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 381) = 76200
GCD(600, 381) = ( 600 x 381 ) / 76200
= 600 / 381
= 600
Step2:
LCM(3, 628) = 1884
GCD(3, 628) = ( 3 x 628 ) / 1884
= 3 / 628
= 3
Step3:
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
= 1 / 302
= 1
So, Greatest Common Divisor of 600, 381, 628, 302 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 381, 628, 302
The greatest common divisor of numbers 600, 381, 628, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 381, 628, 302 is 1.
1. What is the GCD of 600, 381, 628, 302?
GCD of given numbers 600, 381, 628, 302 is 1
2. How to calculate the greatest common divisor of 600, 381, 628, 302?
We can find the highest common divisor of 600, 381, 628, 302 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, 381, 628, 302 i.e 1.
3. How can I use the GCD of 600, 381, 628, 302Calculator?
Out the numbers 600, 381, 628, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.