Online GCD Calculator is useful to find the GCD of 826, 372, 422, 352 quickly. Get the easiest ways to solve the greatest common divisor of 826, 372, 422, 352 i.e 2 in different methods as follows.
Given Input numbers are 826, 372, 422, 352
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 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
GCD of numbers is the greatest common divisor
So, the GCD (826, 372, 422, 352) = 2.
Given numbers are 826, 372, 422, 352
The list of prime factors of all numbers are
Prime factors of 826 are 2 x 7 x 59
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 422 are 2 x 211
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
The highest common occurrence is 21
Therefore, GCD of 826, 372, 422, 352 is 2.
Given numbers are 826, 372, 422, 352
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(826, 372) = 153636
GCD(826, 372) = ( 826 x 372 ) / 153636
= 826 / 372
= 826
Step2:
LCM(2, 422) = 422
GCD(2, 422) = ( 2 x 422 ) / 422
= 2 / 422
= 2
Step3:
LCM(2, 352) = 352
GCD(2, 352) = ( 2 x 352 ) / 352
= 2 / 352
= 2
So, Greatest Common Divisor of 826, 372, 422, 352 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 826, 372, 422, 352
The greatest common divisor of numbers 826, 372, 422, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 372, 422, 352 is 2.
1. What is the GCD of 826, 372, 422, 352?
GCD of given numbers 826, 372, 422, 352 is 2
2. How to calculate the greatest common divisor of 826, 372, 422, 352?
We can find the highest common divisor of 826, 372, 422, 352 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, 372, 422, 352 i.e 2.
3. How can I use the GCD of 826, 372, 422, 352Calculator?
Out the numbers 826, 372, 422, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.