Online GCD Calculator is useful to find the GCD of 300, 867, 359, 490 quickly. Get the easiest ways to solve the greatest common divisor of 300, 867, 359, 490 i.e 1 in different methods as follows.
Given Input numbers are 300, 867, 359, 490
In the factoring method, we have to find the divisors of all numbers
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
Divisors of 359 :
The positive integer divisors of 359 that completely divides 359 are.
1, 359
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
GCD of numbers is the greatest common divisor
So, the GCD (300, 867, 359, 490) = 1.
Given numbers are 300, 867, 359, 490
The list of prime factors of all numbers are
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 867 are 3 x 17 x 17
Prime factors of 359 are 359
Prime factors of 490 are 2 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 300, 867, 359, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 867) = 86700
GCD(300, 867) = ( 300 x 867 ) / 86700
= 300 / 867
= 300
Step2:
LCM(3, 359) = 1077
GCD(3, 359) = ( 3 x 359 ) / 1077
= 3 / 359
= 3
Step3:
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
= 1 / 490
= 1
So, Greatest Common Divisor of 300, 867, 359, 490 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 867, 359, 490
The greatest common divisor of numbers 300, 867, 359, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 867, 359, 490 is 1.
1. What is the GCD of 300, 867, 359, 490?
GCD of given numbers 300, 867, 359, 490 is 1
2. How to calculate the greatest common divisor of 300, 867, 359, 490?
We can find the highest common divisor of 300, 867, 359, 490 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 300, 867, 359, 490 i.e 1.
3. How can I use the GCD of 300, 867, 359, 490Calculator?
Out the numbers 300, 867, 359, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.