Online GCD Calculator is useful to find the GCD of 812, 826, 150, 540 quickly. Get the easiest ways to solve the greatest common divisor of 812, 826, 150, 540 i.e 2 in different methods as follows.
Given Input numbers are 812, 826, 150, 540
In the factoring method, we have to find the divisors of all numbers
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 826 :
The positive integer divisors of 826 that completely divides 826 are.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
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
GCD of numbers is the greatest common divisor
So, the GCD (812, 826, 150, 540) = 2.
Given numbers are 812, 826, 150, 540
The list of prime factors of all numbers are
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 826 are 2 x 7 x 59
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 812, 826, 150, 540 is 2.
Given numbers are 812, 826, 150, 540
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(812, 826) = 47908
GCD(812, 826) = ( 812 x 826 ) / 47908
= 812 / 826
= 812
Step2:
LCM(14, 150) = 1050
GCD(14, 150) = ( 14 x 150 ) / 1050
= 14 / 150
= 14
Step3:
LCM(2, 540) = 540
GCD(2, 540) = ( 2 x 540 ) / 540
= 2 / 540
= 2
So, Greatest Common Divisor of 812, 826, 150, 540 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 812, 826, 150, 540
The greatest common divisor of numbers 812, 826, 150, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 826, 150, 540 is 2.
1. What is the GCD of 812, 826, 150, 540?
GCD of given numbers 812, 826, 150, 540 is 2
2. How to calculate the greatest common divisor of 812, 826, 150, 540?
We can find the highest common divisor of 812, 826, 150, 540 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 812, 826, 150, 540 i.e 2.
3. How can I use the GCD of 812, 826, 150, 540Calculator?
Out the numbers 812, 826, 150, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.