Online GCD Calculator is useful to find the GCD of 699, 798, 651, 825 quickly. Get the easiest ways to solve the greatest common divisor of 699, 798, 651, 825 i.e 3 in different methods as follows.
Given Input numbers are 699, 798, 651, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
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
Divisors of 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (699, 798, 651, 825) = 3.
Given numbers are 699, 798, 651, 825
The list of prime factors of all numbers are
Prime factors of 699 are 3 x 233
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 651 are 3 x 7 x 31
Prime factors of 825 are 3 x 5 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 699, 798, 651, 825 is 3.
Given numbers are 699, 798, 651, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(699, 798) = 185934
GCD(699, 798) = ( 699 x 798 ) / 185934
= 699 / 798
= 699
Step2:
LCM(3, 651) = 651
GCD(3, 651) = ( 3 x 651 ) / 651
= 3 / 651
= 3
Step3:
LCM(3, 825) = 825
GCD(3, 825) = ( 3 x 825 ) / 825
= 3 / 825
= 3
So, Greatest Common Divisor of 699, 798, 651, 825 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 699, 798, 651, 825
The greatest common divisor of numbers 699, 798, 651, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 699, 798, 651, 825 is 3.
1. What is the GCD of 699, 798, 651, 825?
GCD of given numbers 699, 798, 651, 825 is 3
2. How to calculate the greatest common divisor of 699, 798, 651, 825?
We can find the highest common divisor of 699, 798, 651, 825 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 699, 798, 651, 825 i.e 3.
3. How can I use the GCD of 699, 798, 651, 825Calculator?
Out the numbers 699, 798, 651, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.