Online GCD Calculator is useful to find the GCD of 584, 420, 415, 699 quickly. Get the easiest ways to solve the greatest common divisor of 584, 420, 415, 699 i.e 1 in different methods as follows.
Given Input numbers are 584, 420, 415, 699
In the factoring method, we have to find the divisors of all numbers
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 415 :
The positive integer divisors of 415 that completely divides 415 are.
1, 5, 83, 415
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
GCD of numbers is the greatest common divisor
So, the GCD (584, 420, 415, 699) = 1.
Given numbers are 584, 420, 415, 699
The list of prime factors of all numbers are
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 415 are 5 x 83
Prime factors of 699 are 3 x 233
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 584, 420, 415, 699
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(584, 420) = 61320
GCD(584, 420) = ( 584 x 420 ) / 61320
= 584 / 420
= 584
Step2:
LCM(4, 415) = 1660
GCD(4, 415) = ( 4 x 415 ) / 1660
= 4 / 415
= 4
Step3:
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
= 1 / 699
= 1
So, Greatest Common Divisor of 584, 420, 415, 699 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 584, 420, 415, 699
The greatest common divisor of numbers 584, 420, 415, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 420, 415, 699 is 1.
1. What is the GCD of 584, 420, 415, 699?
GCD of given numbers 584, 420, 415, 699 is 1
2. How to calculate the greatest common divisor of 584, 420, 415, 699?
We can find the highest common divisor of 584, 420, 415, 699 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 584, 420, 415, 699 i.e 1.
3. How can I use the GCD of 584, 420, 415, 699Calculator?
Out the numbers 584, 420, 415, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.