Online GCD Calculator is useful to find the GCD of 361, 971, 409, 600 quickly. Get the easiest ways to solve the greatest common divisor of 361, 971, 409, 600 i.e 1 in different methods as follows.
Given Input numbers are 361, 971, 409, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
Divisors of 409 :
The positive integer divisors of 409 that completely divides 409 are.
1, 409
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
GCD of numbers is the greatest common divisor
So, the GCD (361, 971, 409, 600) = 1.
Given numbers are 361, 971, 409, 600
The list of prime factors of all numbers are
Prime factors of 361 are 19 x 19
Prime factors of 971 are 971
Prime factors of 409 are 409
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 361, 971, 409, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(361, 971) = 350531
GCD(361, 971) = ( 361 x 971 ) / 350531
= 361 / 971
= 361
Step2:
LCM(1, 409) = 409
GCD(1, 409) = ( 1 x 409 ) / 409
= 1 / 409
= 1
Step3:
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
= 1 / 600
= 1
So, Greatest Common Divisor of 361, 971, 409, 600 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 361, 971, 409, 600
The greatest common divisor of numbers 361, 971, 409, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 971, 409, 600 is 1.
1. What is the GCD of 361, 971, 409, 600?
GCD of given numbers 361, 971, 409, 600 is 1
2. How to calculate the greatest common divisor of 361, 971, 409, 600?
We can find the highest common divisor of 361, 971, 409, 600 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 361, 971, 409, 600 i.e 1.
3. How can I use the GCD of 361, 971, 409, 600Calculator?
Out the numbers 361, 971, 409, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.