Online GCD Calculator is useful to find the GCD of 764, 760, 540, 822 quickly. Get the easiest ways to solve the greatest common divisor of 764, 760, 540, 822 i.e 2 in different methods as follows.
Given Input numbers are 764, 760, 540, 822
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 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (764, 760, 540, 822) = 2.
Given numbers are 764, 760, 540, 822
The list of prime factors of all numbers are
Prime factors of 764 are 2 x 2 x 191
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 21
Therefore, GCD of 764, 760, 540, 822 is 2.
Given numbers are 764, 760, 540, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(764, 760) = 145160
GCD(764, 760) = ( 764 x 760 ) / 145160
= 764 / 760
= 764
Step2:
LCM(4, 540) = 540
GCD(4, 540) = ( 4 x 540 ) / 540
= 4 / 540
= 4
Step3:
LCM(4, 822) = 1644
GCD(4, 822) = ( 4 x 822 ) / 1644
= 4 / 822
= 4
So, Greatest Common Divisor of 764, 760, 540, 822 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 764, 760, 540, 822
The greatest common divisor of numbers 764, 760, 540, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 760, 540, 822 is 2.
1. What is the GCD of 764, 760, 540, 822?
GCD of given numbers 764, 760, 540, 822 is 2
2. How to calculate the greatest common divisor of 764, 760, 540, 822?
We can find the highest common divisor of 764, 760, 540, 822 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, 760, 540, 822 i.e 2.
3. How can I use the GCD of 764, 760, 540, 822Calculator?
Out the numbers 764, 760, 540, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.