Online GCD Calculator is useful to find the GCD of 300, 490, 547, 200 quickly. Get the easiest ways to solve the greatest common divisor of 300, 490, 547, 200 i.e 1 in different methods as follows.
Given Input numbers are 300, 490, 547, 200
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 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 547 :
The positive integer divisors of 547 that completely divides 547 are.
1, 547
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (300, 490, 547, 200) = 1.
Given numbers are 300, 490, 547, 200
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 490 are 2 x 5 x 7 x 7
Prime factors of 547 are 547
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 300, 490, 547, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 490) = 14700
GCD(300, 490) = ( 300 x 490 ) / 14700
= 300 / 490
= 300
Step2:
LCM(10, 547) = 5470
GCD(10, 547) = ( 10 x 547 ) / 5470
= 10 / 547
= 10
Step3:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
So, Greatest Common Divisor of 300, 490, 547, 200 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 490, 547, 200
The greatest common divisor of numbers 300, 490, 547, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 490, 547, 200 is 1.
1. What is the GCD of 300, 490, 547, 200?
GCD of given numbers 300, 490, 547, 200 is 1
2. How to calculate the greatest common divisor of 300, 490, 547, 200?
We can find the highest common divisor of 300, 490, 547, 200 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, 490, 547, 200 i.e 1.
3. How can I use the GCD of 300, 490, 547, 200Calculator?
Out the numbers 300, 490, 547, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.