Online GCD Calculator is useful to find the GCD of 465, 699, 828, 798 quickly. Get the easiest ways to solve the greatest common divisor of 465, 699, 828, 798 i.e 3 in different methods as follows.
Given Input numbers are 465, 699, 828, 798
In the factoring method, we have to find the divisors of all numbers
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
GCD of numbers is the greatest common divisor
So, the GCD (465, 699, 828, 798) = 3.
Given numbers are 465, 699, 828, 798
The list of prime factors of all numbers are
Prime factors of 465 are 3 x 5 x 31
Prime factors of 699 are 3 x 233
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 798 are 2 x 3 x 7 x 19
The highest common occurrence is 31
Therefore, GCD of 465, 699, 828, 798 is 3.
Given numbers are 465, 699, 828, 798
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(465, 699) = 108345
GCD(465, 699) = ( 465 x 699 ) / 108345
= 465 / 699
= 465
Step2:
LCM(3, 828) = 828
GCD(3, 828) = ( 3 x 828 ) / 828
= 3 / 828
= 3
Step3:
LCM(3, 798) = 798
GCD(3, 798) = ( 3 x 798 ) / 798
= 3 / 798
= 3
So, Greatest Common Divisor of 465, 699, 828, 798 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 465, 699, 828, 798
The greatest common divisor of numbers 465, 699, 828, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 699, 828, 798 is 3.
1. What is the GCD of 465, 699, 828, 798?
GCD of given numbers 465, 699, 828, 798 is 3
2. How to calculate the greatest common divisor of 465, 699, 828, 798?
We can find the highest common divisor of 465, 699, 828, 798 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 465, 699, 828, 798 i.e 3.
3. How can I use the GCD of 465, 699, 828, 798Calculator?
Out the numbers 465, 699, 828, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.