Online GCD Calculator is useful to find the GCD of 756, 348, 780, 368 quickly. Get the easiest ways to solve the greatest common divisor of 756, 348, 780, 368 i.e 4 in different methods as follows.
Given Input numbers are 756, 348, 780, 368
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
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 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
GCD of numbers is the greatest common divisor
So, the GCD (756, 348, 780, 368) = 4.
Given numbers are 756, 348, 780, 368
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
The highest common occurrence is 22
Therefore, GCD of 756, 348, 780, 368 is 4.
Given numbers are 756, 348, 780, 368
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 348) = 21924
GCD(756, 348) = ( 756 x 348 ) / 21924
= 756 / 348
= 756
Step2:
LCM(12, 780) = 780
GCD(12, 780) = ( 12 x 780 ) / 780
= 12 / 780
= 12
Step3:
LCM(12, 368) = 1104
GCD(12, 368) = ( 12 x 368 ) / 1104
= 12 / 368
= 12
So, Greatest Common Divisor of 756, 348, 780, 368 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 348, 780, 368
The greatest common divisor of numbers 756, 348, 780, 368 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 348, 780, 368 is 4.
1. What is the GCD of 756, 348, 780, 368?
GCD of given numbers 756, 348, 780, 368 is 4
2. How to calculate the greatest common divisor of 756, 348, 780, 368?
We can find the highest common divisor of 756, 348, 780, 368 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 756, 348, 780, 368 i.e 4.
3. How can I use the GCD of 756, 348, 780, 368Calculator?
Out the numbers 756, 348, 780, 368 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.