Online GCD Calculator is useful to find the GCD of 822, 453, 138, 564 quickly. Get the easiest ways to solve the greatest common divisor of 822, 453, 138, 564 i.e 3 in different methods as follows.
Given Input numbers are 822, 453, 138, 564
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 453 :
The positive integer divisors of 453 that completely divides 453 are.
1, 3, 151, 453
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (822, 453, 138, 564) = 3.
Given numbers are 822, 453, 138, 564
The list of prime factors of all numbers are
Prime factors of 822 are 2 x 3 x 137
Prime factors of 453 are 3 x 151
Prime factors of 138 are 2 x 3 x 23
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 822, 453, 138, 564 is 3.
Given numbers are 822, 453, 138, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(822, 453) = 124122
GCD(822, 453) = ( 822 x 453 ) / 124122
= 822 / 453
= 822
Step2:
LCM(3, 138) = 138
GCD(3, 138) = ( 3 x 138 ) / 138
= 3 / 138
= 3
Step3:
LCM(3, 564) = 564
GCD(3, 564) = ( 3 x 564 ) / 564
= 3 / 564
= 3
So, Greatest Common Divisor of 822, 453, 138, 564 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 822, 453, 138, 564
The greatest common divisor of numbers 822, 453, 138, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 453, 138, 564 is 3.
1. What is the GCD of 822, 453, 138, 564?
GCD of given numbers 822, 453, 138, 564 is 3
2. How to calculate the greatest common divisor of 822, 453, 138, 564?
We can find the highest common divisor of 822, 453, 138, 564 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, 453, 138, 564 i.e 3.
3. How can I use the GCD of 822, 453, 138, 564Calculator?
Out the numbers 822, 453, 138, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.