Online GCD Calculator is useful to find the GCD of 424, 620, 682, 854 quickly. Get the easiest ways to solve the greatest common divisor of 424, 620, 682, 854 i.e 2 in different methods as follows.
Given Input numbers are 424, 620, 682, 854
In the factoring method, we have to find the divisors of all numbers
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 620 :
The positive integer divisors of 620 that completely divides 620 are.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
GCD of numbers is the greatest common divisor
So, the GCD (424, 620, 682, 854) = 2.
Given numbers are 424, 620, 682, 854
The list of prime factors of all numbers are
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 620 are 2 x 2 x 5 x 31
Prime factors of 682 are 2 x 11 x 31
Prime factors of 854 are 2 x 7 x 61
The highest common occurrence is 21
Therefore, GCD of 424, 620, 682, 854 is 2.
Given numbers are 424, 620, 682, 854
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(424, 620) = 65720
GCD(424, 620) = ( 424 x 620 ) / 65720
= 424 / 620
= 424
Step2:
LCM(4, 682) = 1364
GCD(4, 682) = ( 4 x 682 ) / 1364
= 4 / 682
= 4
Step3:
LCM(2, 854) = 854
GCD(2, 854) = ( 2 x 854 ) / 854
= 2 / 854
= 2
So, Greatest Common Divisor of 424, 620, 682, 854 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 424, 620, 682, 854
The greatest common divisor of numbers 424, 620, 682, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 620, 682, 854 is 2.
1. What is the GCD of 424, 620, 682, 854?
GCD of given numbers 424, 620, 682, 854 is 2
2. How to calculate the greatest common divisor of 424, 620, 682, 854?
We can find the highest common divisor of 424, 620, 682, 854 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 424, 620, 682, 854 i.e 2.
3. How can I use the GCD of 424, 620, 682, 854Calculator?
Out the numbers 424, 620, 682, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.