Online GCD Calculator is useful to find the GCD of 790, 420, 408, 686 quickly. Get the easiest ways to solve the greatest common divisor of 790, 420, 408, 686 i.e 2 in different methods as follows.
Given Input numbers are 790, 420, 408, 686
In the factoring method, we have to find the divisors of all numbers
Divisors of 790 :
The positive integer divisors of 790 that completely divides 790 are.
1, 2, 5, 10, 79, 158, 395, 790
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 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
GCD of numbers is the greatest common divisor
So, the GCD (790, 420, 408, 686) = 2.
Given numbers are 790, 420, 408, 686
The list of prime factors of all numbers are
Prime factors of 790 are 2 x 5 x 79
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 686 are 2 x 7 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 790, 420, 408, 686 is 2.
Given numbers are 790, 420, 408, 686
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(790, 420) = 33180
GCD(790, 420) = ( 790 x 420 ) / 33180
= 790 / 420
= 790
Step2:
LCM(10, 408) = 2040
GCD(10, 408) = ( 10 x 408 ) / 2040
= 10 / 408
= 10
Step3:
LCM(2, 686) = 686
GCD(2, 686) = ( 2 x 686 ) / 686
= 2 / 686
= 2
So, Greatest Common Divisor of 790, 420, 408, 686 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 790, 420, 408, 686
The greatest common divisor of numbers 790, 420, 408, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 420, 408, 686 is 2.
1. What is the GCD of 790, 420, 408, 686?
GCD of given numbers 790, 420, 408, 686 is 2
2. How to calculate the greatest common divisor of 790, 420, 408, 686?
We can find the highest common divisor of 790, 420, 408, 686 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 790, 420, 408, 686 i.e 2.
3. How can I use the GCD of 790, 420, 408, 686Calculator?
Out the numbers 790, 420, 408, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.