Online GCD Calculator is useful to find the GCD of 780, 874, 462, 816 quickly. Get the easiest ways to solve the greatest common divisor of 780, 874, 462, 816 i.e 2 in different methods as follows.
Given Input numbers are 780, 874, 462, 816
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
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 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
GCD of numbers is the greatest common divisor
So, the GCD (780, 874, 462, 816) = 2.
Given numbers are 780, 874, 462, 816
The list of prime factors of all numbers are
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 874 are 2 x 19 x 23
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 780, 874, 462, 816 is 2.
Given numbers are 780, 874, 462, 816
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(780, 874) = 340860
GCD(780, 874) = ( 780 x 874 ) / 340860
= 780 / 874
= 780
Step2:
LCM(2, 462) = 462
GCD(2, 462) = ( 2 x 462 ) / 462
= 2 / 462
= 2
Step3:
LCM(2, 816) = 816
GCD(2, 816) = ( 2 x 816 ) / 816
= 2 / 816
= 2
So, Greatest Common Divisor of 780, 874, 462, 816 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 780, 874, 462, 816
The greatest common divisor of numbers 780, 874, 462, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 874, 462, 816 is 2.
1. What is the GCD of 780, 874, 462, 816?
GCD of given numbers 780, 874, 462, 816 is 2
2. How to calculate the greatest common divisor of 780, 874, 462, 816?
We can find the highest common divisor of 780, 874, 462, 816 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 780, 874, 462, 816 i.e 2.
3. How can I use the GCD of 780, 874, 462, 816Calculator?
Out the numbers 780, 874, 462, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.