Online GCD Calculator is useful to find the GCD of 826, 812, 716, 448 quickly. Get the easiest ways to solve the greatest common divisor of 826, 812, 716, 448 i.e 2 in different methods as follows.
Given Input numbers are 826, 812, 716, 448
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 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
GCD of numbers is the greatest common divisor
So, the GCD (826, 812, 716, 448) = 2.
Given numbers are 826, 812, 716, 448
The list of prime factors of all numbers are
Prime factors of 826 are 2 x 7 x 59
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 716 are 2 x 2 x 179
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 826, 812, 716, 448 is 2.
Given numbers are 826, 812, 716, 448
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(826, 812) = 47908
GCD(826, 812) = ( 826 x 812 ) / 47908
= 826 / 812
= 826
Step2:
LCM(14, 716) = 5012
GCD(14, 716) = ( 14 x 716 ) / 5012
= 14 / 716
= 14
Step3:
LCM(2, 448) = 448
GCD(2, 448) = ( 2 x 448 ) / 448
= 2 / 448
= 2
So, Greatest Common Divisor of 826, 812, 716, 448 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 826, 812, 716, 448
The greatest common divisor of numbers 826, 812, 716, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 812, 716, 448 is 2.
1. What is the GCD of 826, 812, 716, 448?
GCD of given numbers 826, 812, 716, 448 is 2
2. How to calculate the greatest common divisor of 826, 812, 716, 448?
We can find the highest common divisor of 826, 812, 716, 448 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, 812, 716, 448 i.e 2.
3. How can I use the GCD of 826, 812, 716, 448Calculator?
Out the numbers 826, 812, 716, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.