Online GCD Calculator is useful to find the GCD of 580, 735, 614, 428 quickly. Get the easiest ways to solve the greatest common divisor of 580, 735, 614, 428 i.e 1 in different methods as follows.
Given Input numbers are 580, 735, 614, 428
In the factoring method, we have to find the divisors of all numbers
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (580, 735, 614, 428) = 1.
Given numbers are 580, 735, 614, 428
The list of prime factors of all numbers are
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 614 are 2 x 307
Prime factors of 428 are 2 x 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 580, 735, 614, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(580, 735) = 85260
GCD(580, 735) = ( 580 x 735 ) / 85260
= 580 / 735
= 580
Step2:
LCM(5, 614) = 3070
GCD(5, 614) = ( 5 x 614 ) / 3070
= 5 / 614
= 5
Step3:
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
= 1 / 428
= 1
So, Greatest Common Divisor of 580, 735, 614, 428 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 580, 735, 614, 428
The greatest common divisor of numbers 580, 735, 614, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 735, 614, 428 is 1.
1. What is the GCD of 580, 735, 614, 428?
GCD of given numbers 580, 735, 614, 428 is 1
2. How to calculate the greatest common divisor of 580, 735, 614, 428?
We can find the highest common divisor of 580, 735, 614, 428 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 580, 735, 614, 428 i.e 1.
3. How can I use the GCD of 580, 735, 614, 428Calculator?
Out the numbers 580, 735, 614, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.