Online GCD Calculator is useful to find the GCD of 812, 553, 308, 665 quickly. Get the easiest ways to solve the greatest common divisor of 812, 553, 308, 665 i.e 7 in different methods as follows.
Given Input numbers are 812, 553, 308, 665
In the factoring method, we have to find the divisors of all numbers
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 553 :
The positive integer divisors of 553 that completely divides 553 are.
1, 7, 79, 553
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 665 :
The positive integer divisors of 665 that completely divides 665 are.
1, 5, 7, 19, 35, 95, 133, 665
GCD of numbers is the greatest common divisor
So, the GCD (812, 553, 308, 665) = 7.
Given numbers are 812, 553, 308, 665
The list of prime factors of all numbers are
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 553 are 7 x 79
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 665 are 5 x 7 x 19
The highest common occurrence is 71
Therefore, GCD of 812, 553, 308, 665 is 7.
Given numbers are 812, 553, 308, 665
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(812, 553) = 64148
GCD(812, 553) = ( 812 x 553 ) / 64148
= 812 / 553
= 812
Step2:
LCM(7, 308) = 308
GCD(7, 308) = ( 7 x 308 ) / 308
= 7 / 308
= 7
Step3:
LCM(7, 665) = 665
GCD(7, 665) = ( 7 x 665 ) / 665
= 7 / 665
= 7
So, Greatest Common Divisor of 812, 553, 308, 665 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 812, 553, 308, 665
The greatest common divisor of numbers 812, 553, 308, 665 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 553, 308, 665 is 7.
1. What is the GCD of 812, 553, 308, 665?
GCD of given numbers 812, 553, 308, 665 is 7
2. How to calculate the greatest common divisor of 812, 553, 308, 665?
We can find the highest common divisor of 812, 553, 308, 665 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 812, 553, 308, 665 i.e 7.
3. How can I use the GCD of 812, 553, 308, 665Calculator?
Out the numbers 812, 553, 308, 665 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.