Online GCD Calculator is useful to find the GCD of 552, 555, 696, 765 quickly. Get the easiest ways to solve the greatest common divisor of 552, 555, 696, 765 i.e 3 in different methods as follows.
Given Input numbers are 552, 555, 696, 765
In the factoring method, we have to find the divisors of all numbers
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 555 :
The positive integer divisors of 555 that completely divides 555 are.
1, 3, 5, 15, 37, 111, 185, 555
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 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
GCD of numbers is the greatest common divisor
So, the GCD (552, 555, 696, 765) = 3.
Given numbers are 552, 555, 696, 765
The list of prime factors of all numbers are
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 555 are 3 x 5 x 37
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 765 are 3 x 3 x 5 x 17
The highest common occurrence is 31
Therefore, GCD of 552, 555, 696, 765 is 3.
Given numbers are 552, 555, 696, 765
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(552, 555) = 102120
GCD(552, 555) = ( 552 x 555 ) / 102120
= 552 / 555
= 552
Step2:
LCM(3, 696) = 696
GCD(3, 696) = ( 3 x 696 ) / 696
= 3 / 696
= 3
Step3:
LCM(3, 765) = 765
GCD(3, 765) = ( 3 x 765 ) / 765
= 3 / 765
= 3
So, Greatest Common Divisor of 552, 555, 696, 765 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 552, 555, 696, 765
The greatest common divisor of numbers 552, 555, 696, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 555, 696, 765 is 3.
1. What is the GCD of 552, 555, 696, 765?
GCD of given numbers 552, 555, 696, 765 is 3
2. How to calculate the greatest common divisor of 552, 555, 696, 765?
We can find the highest common divisor of 552, 555, 696, 765 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 552, 555, 696, 765 i.e 3.
3. How can I use the GCD of 552, 555, 696, 765Calculator?
Out the numbers 552, 555, 696, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.