Online GCD Calculator is useful to find the GCD of 690, 525, 777, 576 quickly. Get the easiest ways to solve the greatest common divisor of 690, 525, 777, 576 i.e 3 in different methods as follows.
Given Input numbers are 690, 525, 777, 576
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 525 :
The positive integer divisors of 525 that completely divides 525 are.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
GCD of numbers is the greatest common divisor
So, the GCD (690, 525, 777, 576) = 3.
Given numbers are 690, 525, 777, 576
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 525 are 3 x 5 x 5 x 7
Prime factors of 777 are 3 x 7 x 37
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 690, 525, 777, 576 is 3.
Given numbers are 690, 525, 777, 576
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 525) = 24150
GCD(690, 525) = ( 690 x 525 ) / 24150
= 690 / 525
= 690
Step2:
LCM(15, 777) = 3885
GCD(15, 777) = ( 15 x 777 ) / 3885
= 15 / 777
= 15
Step3:
LCM(3, 576) = 576
GCD(3, 576) = ( 3 x 576 ) / 576
= 3 / 576
= 3
So, Greatest Common Divisor of 690, 525, 777, 576 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 525, 777, 576
The greatest common divisor of numbers 690, 525, 777, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 525, 777, 576 is 3.
1. What is the GCD of 690, 525, 777, 576?
GCD of given numbers 690, 525, 777, 576 is 3
2. How to calculate the greatest common divisor of 690, 525, 777, 576?
We can find the highest common divisor of 690, 525, 777, 576 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 690, 525, 777, 576 i.e 3.
3. How can I use the GCD of 690, 525, 777, 576Calculator?
Out the numbers 690, 525, 777, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.