Online GCD Calculator is useful to find the GCD of 822, 930, 783, 135 quickly. Get the easiest ways to solve the greatest common divisor of 822, 930, 783, 135 i.e 3 in different methods as follows.
Given Input numbers are 822, 930, 783, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 930 :
The positive integer divisors of 930 that completely divides 930 are.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 783 :
The positive integer divisors of 783 that completely divides 783 are.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (822, 930, 783, 135) = 3.
Given numbers are 822, 930, 783, 135
The list of prime factors of all numbers are
Prime factors of 822 are 2 x 3 x 137
Prime factors of 930 are 2 x 3 x 5 x 31
Prime factors of 783 are 3 x 3 x 3 x 29
Prime factors of 135 are 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 822, 930, 783, 135 is 3.
Given numbers are 822, 930, 783, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(822, 930) = 127410
GCD(822, 930) = ( 822 x 930 ) / 127410
= 822 / 930
= 822
Step2:
LCM(6, 783) = 1566
GCD(6, 783) = ( 6 x 783 ) / 1566
= 6 / 783
= 6
Step3:
LCM(3, 135) = 135
GCD(3, 135) = ( 3 x 135 ) / 135
= 3 / 135
= 3
So, Greatest Common Divisor of 822, 930, 783, 135 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 822, 930, 783, 135
The greatest common divisor of numbers 822, 930, 783, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 930, 783, 135 is 3.
1. What is the GCD of 822, 930, 783, 135?
GCD of given numbers 822, 930, 783, 135 is 3
2. How to calculate the greatest common divisor of 822, 930, 783, 135?
We can find the highest common divisor of 822, 930, 783, 135 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 822, 930, 783, 135 i.e 3.
3. How can I use the GCD of 822, 930, 783, 135Calculator?
Out the numbers 822, 930, 783, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.