Online GCD Calculator is useful to find the GCD of 608, 672, 312, 822 quickly. Get the easiest ways to solve the greatest common divisor of 608, 672, 312, 822 i.e 2 in different methods as follows.
Given Input numbers are 608, 672, 312, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (608, 672, 312, 822) = 2.
Given numbers are 608, 672, 312, 822
The list of prime factors of all numbers are
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 21
Therefore, GCD of 608, 672, 312, 822 is 2.
Given numbers are 608, 672, 312, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(608, 672) = 12768
GCD(608, 672) = ( 608 x 672 ) / 12768
= 608 / 672
= 608
Step2:
LCM(32, 312) = 1248
GCD(32, 312) = ( 32 x 312 ) / 1248
= 32 / 312
= 32
Step3:
LCM(8, 822) = 3288
GCD(8, 822) = ( 8 x 822 ) / 3288
= 8 / 822
= 8
So, Greatest Common Divisor of 608, 672, 312, 822 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 608, 672, 312, 822
The greatest common divisor of numbers 608, 672, 312, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 608, 672, 312, 822 is 2.
1. What is the GCD of 608, 672, 312, 822?
GCD of given numbers 608, 672, 312, 822 is 2
2. How to calculate the greatest common divisor of 608, 672, 312, 822?
We can find the highest common divisor of 608, 672, 312, 822 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 608, 672, 312, 822 i.e 2.
3. How can I use the GCD of 608, 672, 312, 822Calculator?
Out the numbers 608, 672, 312, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.