Online GCD Calculator is useful to find the GCD of 764, 280, 856 quickly. Get the easiest ways to solve the greatest common divisor of 764, 280, 856 i.e 4 in different methods as follows.
Given Input numbers are 764, 280, 856
In the factoring method, we have to find the divisors of all numbers
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
GCD of numbers is the greatest common divisor
So, the GCD (764, 280, 856) = 4.
Given numbers are 764, 280, 856
The list of prime factors of all numbers are
Prime factors of 764 are 2 x 2 x 191
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 856 are 2 x 2 x 2 x 107
The highest common occurrence is 22
Therefore, GCD of 764, 280, 856 is 4.
Given numbers are 764, 280, 856
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(764, 280) = 53480
GCD(764, 280) = ( 764 x 280 ) / 53480
= 764 / 280
= 764
Step2:
LCM(4, 856) = 856
GCD(4, 856) = ( 4 x 856 ) / 856
= 4 / 856
= 4
So, Greatest Common Divisor of 764, 280, 856 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 764, 280, 856
The greatest common divisor of numbers 764, 280, 856 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 280, 856 is 4.
1. What is the GCD of 764, 280, 856?
GCD of given numbers 764, 280, 856 is 4
2. How to calculate the greatest common divisor of 764, 280, 856?
We can find the highest common divisor of 764, 280, 856 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 764, 280, 856 i.e 4.
3. How can I use the GCD of 764, 280, 856Calculator?
Out the numbers 764, 280, 856 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.