Online GCD Calculator is useful to find the GCD of 672, 532, 22, 816 quickly. Get the easiest ways to solve the greatest common divisor of 672, 532, 22, 816 i.e 2 in different methods as follows.
Given Input numbers are 672, 532, 22, 816
In the factoring method, we have to find the divisors of all numbers
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 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 22 :
The positive integer divisors of 22 that completely divides 22 are.
1, 2, 11, 22
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
GCD of numbers is the greatest common divisor
So, the GCD (672, 532, 22, 816) = 2.
Given numbers are 672, 532, 22, 816
The list of prime factors of all numbers are
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 22 are 2 x 11
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 672, 532, 22, 816 is 2.
Given numbers are 672, 532, 22, 816
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 532) = 12768
GCD(672, 532) = ( 672 x 532 ) / 12768
= 672 / 532
= 672
Step2:
LCM(28, 22) = 308
GCD(28, 22) = ( 28 x 22 ) / 308
= 28 / 22
= 28
Step3:
LCM(2, 816) = 816
GCD(2, 816) = ( 2 x 816 ) / 816
= 2 / 816
= 2
So, Greatest Common Divisor of 672, 532, 22, 816 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 532, 22, 816
The greatest common divisor of numbers 672, 532, 22, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 532, 22, 816 is 2.
1. What is the GCD of 672, 532, 22, 816?
GCD of given numbers 672, 532, 22, 816 is 2
2. How to calculate the greatest common divisor of 672, 532, 22, 816?
We can find the highest common divisor of 672, 532, 22, 816 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 672, 532, 22, 816 i.e 2.
3. How can I use the GCD of 672, 532, 22, 816Calculator?
Out the numbers 672, 532, 22, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.