Online GCD Calculator is useful to find the GCD of 610, 420, 344, 780 quickly. Get the easiest ways to solve the greatest common divisor of 610, 420, 344, 780 i.e 2 in different methods as follows.
Given Input numbers are 610, 420, 344, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 610 :
The positive integer divisors of 610 that completely divides 610 are.
1, 2, 5, 10, 61, 122, 305, 610
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 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
GCD of numbers is the greatest common divisor
So, the GCD (610, 420, 344, 780) = 2.
Given numbers are 610, 420, 344, 780
The list of prime factors of all numbers are
Prime factors of 610 are 2 x 5 x 61
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 610, 420, 344, 780 is 2.
Given numbers are 610, 420, 344, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(610, 420) = 25620
GCD(610, 420) = ( 610 x 420 ) / 25620
= 610 / 420
= 610
Step2:
LCM(10, 344) = 1720
GCD(10, 344) = ( 10 x 344 ) / 1720
= 10 / 344
= 10
Step3:
LCM(2, 780) = 780
GCD(2, 780) = ( 2 x 780 ) / 780
= 2 / 780
= 2
So, Greatest Common Divisor of 610, 420, 344, 780 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 610, 420, 344, 780
The greatest common divisor of numbers 610, 420, 344, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 610, 420, 344, 780 is 2.
1. What is the GCD of 610, 420, 344, 780?
GCD of given numbers 610, 420, 344, 780 is 2
2. How to calculate the greatest common divisor of 610, 420, 344, 780?
We can find the highest common divisor of 610, 420, 344, 780 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 610, 420, 344, 780 i.e 2.
3. How can I use the GCD of 610, 420, 344, 780Calculator?
Out the numbers 610, 420, 344, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.