Online GCD Calculator is useful to find the GCD of 780, 332, 828, 696 quickly. Get the easiest ways to solve the greatest common divisor of 780, 332, 828, 696 i.e 4 in different methods as follows.
Given Input numbers are 780, 332, 828, 696
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 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (780, 332, 828, 696) = 4.
Given numbers are 780, 332, 828, 696
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 332 are 2 x 2 x 83
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The highest common occurrence is 22
Therefore, GCD of 780, 332, 828, 696 is 4.
Given numbers are 780, 332, 828, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(780, 332) = 64740
GCD(780, 332) = ( 780 x 332 ) / 64740
= 780 / 332
= 780
Step2:
LCM(4, 828) = 828
GCD(4, 828) = ( 4 x 828 ) / 828
= 4 / 828
= 4
Step3:
LCM(4, 696) = 696
GCD(4, 696) = ( 4 x 696 ) / 696
= 4 / 696
= 4
So, Greatest Common Divisor of 780, 332, 828, 696 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 780, 332, 828, 696
The greatest common divisor of numbers 780, 332, 828, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 332, 828, 696 is 4.
1. What is the GCD of 780, 332, 828, 696?
GCD of given numbers 780, 332, 828, 696 is 4
2. How to calculate the greatest common divisor of 780, 332, 828, 696?
We can find the highest common divisor of 780, 332, 828, 696 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, 332, 828, 696 i.e 4.
3. How can I use the GCD of 780, 332, 828, 696Calculator?
Out the numbers 780, 332, 828, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.