Online GCD Calculator is useful to find the GCD of 826, 864, 698, 842 quickly. Get the easiest ways to solve the greatest common divisor of 826, 864, 698, 842 i.e 2 in different methods as follows.
Given Input numbers are 826, 864, 698, 842
In the factoring method, we have to find the divisors of all numbers
Divisors of 826 :
The positive integer divisors of 826 that completely divides 826 are.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
GCD of numbers is the greatest common divisor
So, the GCD (826, 864, 698, 842) = 2.
Given numbers are 826, 864, 698, 842
The list of prime factors of all numbers are
Prime factors of 826 are 2 x 7 x 59
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 698 are 2 x 349
Prime factors of 842 are 2 x 421
The highest common occurrence is 21
Therefore, GCD of 826, 864, 698, 842 is 2.
Given numbers are 826, 864, 698, 842
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(826, 864) = 356832
GCD(826, 864) = ( 826 x 864 ) / 356832
= 826 / 864
= 826
Step2:
LCM(2, 698) = 698
GCD(2, 698) = ( 2 x 698 ) / 698
= 2 / 698
= 2
Step3:
LCM(2, 842) = 842
GCD(2, 842) = ( 2 x 842 ) / 842
= 2 / 842
= 2
So, Greatest Common Divisor of 826, 864, 698, 842 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 826, 864, 698, 842
The greatest common divisor of numbers 826, 864, 698, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 864, 698, 842 is 2.
1. What is the GCD of 826, 864, 698, 842?
GCD of given numbers 826, 864, 698, 842 is 2
2. How to calculate the greatest common divisor of 826, 864, 698, 842?
We can find the highest common divisor of 826, 864, 698, 842 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 826, 864, 698, 842 i.e 2.
3. How can I use the GCD of 826, 864, 698, 842Calculator?
Out the numbers 826, 864, 698, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.