Online GCD Calculator is useful to find the GCD of 525, 771, 660, 765 quickly. Get the easiest ways to solve the greatest common divisor of 525, 771, 660, 765 i.e 3 in different methods as follows.
Given Input numbers are 525, 771, 660, 765
In the factoring method, we have to find the divisors of all numbers
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 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
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 (525, 771, 660, 765) = 3.
Given numbers are 525, 771, 660, 765
The list of prime factors of all numbers are
Prime factors of 525 are 3 x 5 x 5 x 7
Prime factors of 771 are 3 x 257
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 765 are 3 x 3 x 5 x 17
The highest common occurrence is 31
Therefore, GCD of 525, 771, 660, 765 is 3.
Given numbers are 525, 771, 660, 765
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(525, 771) = 134925
GCD(525, 771) = ( 525 x 771 ) / 134925
= 525 / 771
= 525
Step2:
LCM(3, 660) = 660
GCD(3, 660) = ( 3 x 660 ) / 660
= 3 / 660
= 3
Step3:
LCM(3, 765) = 765
GCD(3, 765) = ( 3 x 765 ) / 765
= 3 / 765
= 3
So, Greatest Common Divisor of 525, 771, 660, 765 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 525, 771, 660, 765
The greatest common divisor of numbers 525, 771, 660, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 771, 660, 765 is 3.
1. What is the GCD of 525, 771, 660, 765?
GCD of given numbers 525, 771, 660, 765 is 3
2. How to calculate the greatest common divisor of 525, 771, 660, 765?
We can find the highest common divisor of 525, 771, 660, 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 525, 771, 660, 765 i.e 3.
3. How can I use the GCD of 525, 771, 660, 765Calculator?
Out the numbers 525, 771, 660, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.