Online GCD Calculator is useful to find the GCD of 830, 462, 660, 680 quickly. Get the easiest ways to solve the greatest common divisor of 830, 462, 660, 680 i.e 2 in different methods as follows.
Given Input numbers are 830, 462, 660, 680
In the factoring method, we have to find the divisors of all numbers
Divisors of 830 :
The positive integer divisors of 830 that completely divides 830 are.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (830, 462, 660, 680) = 2.
Given numbers are 830, 462, 660, 680
The list of prime factors of all numbers are
Prime factors of 830 are 2 x 5 x 83
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 830, 462, 660, 680 is 2.
Given numbers are 830, 462, 660, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(830, 462) = 191730
GCD(830, 462) = ( 830 x 462 ) / 191730
= 830 / 462
= 830
Step2:
LCM(2, 660) = 660
GCD(2, 660) = ( 2 x 660 ) / 660
= 2 / 660
= 2
Step3:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
So, Greatest Common Divisor of 830, 462, 660, 680 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 830, 462, 660, 680
The greatest common divisor of numbers 830, 462, 660, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 830, 462, 660, 680 is 2.
1. What is the GCD of 830, 462, 660, 680?
GCD of given numbers 830, 462, 660, 680 is 2
2. How to calculate the greatest common divisor of 830, 462, 660, 680?
We can find the highest common divisor of 830, 462, 660, 680 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 830, 462, 660, 680 i.e 2.
3. How can I use the GCD of 830, 462, 660, 680Calculator?
Out the numbers 830, 462, 660, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.