Online GCD Calculator is useful to find the GCD of 580, 764, 584, 946 quickly. Get the easiest ways to solve the greatest common divisor of 580, 764, 584, 946 i.e 2 in different methods as follows.
Given Input numbers are 580, 764, 584, 946
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 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
GCD of numbers is the greatest common divisor
So, the GCD (580, 764, 584, 946) = 2.
Given numbers are 580, 764, 584, 946
The list of prime factors of all numbers are
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 764 are 2 x 2 x 191
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 946 are 2 x 11 x 43
The highest common occurrence is 21
Therefore, GCD of 580, 764, 584, 946 is 2.
Given numbers are 580, 764, 584, 946
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(580, 764) = 110780
GCD(580, 764) = ( 580 x 764 ) / 110780
= 580 / 764
= 580
Step2:
LCM(4, 584) = 584
GCD(4, 584) = ( 4 x 584 ) / 584
= 4 / 584
= 4
Step3:
LCM(4, 946) = 1892
GCD(4, 946) = ( 4 x 946 ) / 1892
= 4 / 946
= 4
So, Greatest Common Divisor of 580, 764, 584, 946 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 580, 764, 584, 946
The greatest common divisor of numbers 580, 764, 584, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 764, 584, 946 is 2.
1. What is the GCD of 580, 764, 584, 946?
GCD of given numbers 580, 764, 584, 946 is 2
2. How to calculate the greatest common divisor of 580, 764, 584, 946?
We can find the highest common divisor of 580, 764, 584, 946 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, 764, 584, 946 i.e 2.
3. How can I use the GCD of 580, 764, 584, 946Calculator?
Out the numbers 580, 764, 584, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.