Online GCD Calculator is useful to find the GCD of 288, 672, 696, 722 quickly. Get the easiest ways to solve the greatest common divisor of 288, 672, 696, 722 i.e 2 in different methods as follows.
Given Input numbers are 288, 672, 696, 722
In the factoring method, we have to find the divisors of all numbers
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
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 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
GCD of numbers is the greatest common divisor
So, the GCD (288, 672, 696, 722) = 2.
Given numbers are 288, 672, 696, 722
The list of prime factors of all numbers are
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 722 are 2 x 19 x 19
The highest common occurrence is 21
Therefore, GCD of 288, 672, 696, 722 is 2.
Given numbers are 288, 672, 696, 722
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(288, 672) = 2016
GCD(288, 672) = ( 288 x 672 ) / 2016
= 288 / 672
= 288
Step2:
LCM(96, 696) = 2784
GCD(96, 696) = ( 96 x 696 ) / 2784
= 96 / 696
= 96
Step3:
LCM(24, 722) = 8664
GCD(24, 722) = ( 24 x 722 ) / 8664
= 24 / 722
= 24
So, Greatest Common Divisor of 288, 672, 696, 722 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 288, 672, 696, 722
The greatest common divisor of numbers 288, 672, 696, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 672, 696, 722 is 2.
1. What is the GCD of 288, 672, 696, 722?
GCD of given numbers 288, 672, 696, 722 is 2
2. How to calculate the greatest common divisor of 288, 672, 696, 722?
We can find the highest common divisor of 288, 672, 696, 722 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 288, 672, 696, 722 i.e 2.
3. How can I use the GCD of 288, 672, 696, 722Calculator?
Out the numbers 288, 672, 696, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.