Online GCD Calculator is useful to find the GCD of 294, 586, 720, 690 quickly. Get the easiest ways to solve the greatest common divisor of 294, 586, 720, 690 i.e 2 in different methods as follows.
Given Input numbers are 294, 586, 720, 690
In the factoring method, we have to find the divisors of all numbers
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 586 :
The positive integer divisors of 586 that completely divides 586 are.
1, 2, 293, 586
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
GCD of numbers is the greatest common divisor
So, the GCD (294, 586, 720, 690) = 2.
Given numbers are 294, 586, 720, 690
The list of prime factors of all numbers are
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 586 are 2 x 293
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 690 are 2 x 3 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 294, 586, 720, 690 is 2.
Given numbers are 294, 586, 720, 690
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(294, 586) = 86142
GCD(294, 586) = ( 294 x 586 ) / 86142
= 294 / 586
= 294
Step2:
LCM(2, 720) = 720
GCD(2, 720) = ( 2 x 720 ) / 720
= 2 / 720
= 2
Step3:
LCM(2, 690) = 690
GCD(2, 690) = ( 2 x 690 ) / 690
= 2 / 690
= 2
So, Greatest Common Divisor of 294, 586, 720, 690 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 294, 586, 720, 690
The greatest common divisor of numbers 294, 586, 720, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 586, 720, 690 is 2.
1. What is the GCD of 294, 586, 720, 690?
GCD of given numbers 294, 586, 720, 690 is 2
2. How to calculate the greatest common divisor of 294, 586, 720, 690?
We can find the highest common divisor of 294, 586, 720, 690 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 294, 586, 720, 690 i.e 2.
3. How can I use the GCD of 294, 586, 720, 690Calculator?
Out the numbers 294, 586, 720, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.