Online GCD Calculator is useful to find the GCD of 105, 552, 213, 789 quickly. Get the easiest ways to solve the greatest common divisor of 105, 552, 213, 789 i.e 3 in different methods as follows.
Given Input numbers are 105, 552, 213, 789
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
GCD of numbers is the greatest common divisor
So, the GCD (105, 552, 213, 789) = 3.
Given numbers are 105, 552, 213, 789
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 213 are 3 x 71
Prime factors of 789 are 3 x 263
The highest common occurrence is 31
Therefore, GCD of 105, 552, 213, 789 is 3.
Given numbers are 105, 552, 213, 789
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 552) = 19320
GCD(105, 552) = ( 105 x 552 ) / 19320
= 105 / 552
= 105
Step2:
LCM(3, 213) = 213
GCD(3, 213) = ( 3 x 213 ) / 213
= 3 / 213
= 3
Step3:
LCM(3, 789) = 789
GCD(3, 789) = ( 3 x 789 ) / 789
= 3 / 789
= 3
So, Greatest Common Divisor of 105, 552, 213, 789 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 552, 213, 789
The greatest common divisor of numbers 105, 552, 213, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 552, 213, 789 is 3.
1. What is the GCD of 105, 552, 213, 789?
GCD of given numbers 105, 552, 213, 789 is 3
2. How to calculate the greatest common divisor of 105, 552, 213, 789?
We can find the highest common divisor of 105, 552, 213, 789 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 105, 552, 213, 789 i.e 3.
3. How can I use the GCD of 105, 552, 213, 789Calculator?
Out the numbers 105, 552, 213, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.