Online GCD Calculator is useful to find the GCD of 699, 768, 153, 363 quickly. Get the easiest ways to solve the greatest common divisor of 699, 768, 153, 363 i.e 3 in different methods as follows.
Given Input numbers are 699, 768, 153, 363
In the factoring method, we have to find the divisors of all numbers
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
GCD of numbers is the greatest common divisor
So, the GCD (699, 768, 153, 363) = 3.
Given numbers are 699, 768, 153, 363
The list of prime factors of all numbers are
Prime factors of 699 are 3 x 233
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 153 are 3 x 3 x 17
Prime factors of 363 are 3 x 11 x 11
The highest common occurrence is 31
Therefore, GCD of 699, 768, 153, 363 is 3.
Given numbers are 699, 768, 153, 363
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(699, 768) = 178944
GCD(699, 768) = ( 699 x 768 ) / 178944
= 699 / 768
= 699
Step2:
LCM(3, 153) = 153
GCD(3, 153) = ( 3 x 153 ) / 153
= 3 / 153
= 3
Step3:
LCM(3, 363) = 363
GCD(3, 363) = ( 3 x 363 ) / 363
= 3 / 363
= 3
So, Greatest Common Divisor of 699, 768, 153, 363 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 699, 768, 153, 363
The greatest common divisor of numbers 699, 768, 153, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 699, 768, 153, 363 is 3.
1. What is the GCD of 699, 768, 153, 363?
GCD of given numbers 699, 768, 153, 363 is 3
2. How to calculate the greatest common divisor of 699, 768, 153, 363?
We can find the highest common divisor of 699, 768, 153, 363 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 699, 768, 153, 363 i.e 3.
3. How can I use the GCD of 699, 768, 153, 363Calculator?
Out the numbers 699, 768, 153, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.