Online GCD Calculator is useful to find the GCD of 265, 765, 880, 525 quickly. Get the easiest ways to solve the greatest common divisor of 265, 765, 880, 525 i.e 5 in different methods as follows.
Given Input numbers are 265, 765, 880, 525
In the factoring method, we have to find the divisors of all numbers
Divisors of 265 :
The positive integer divisors of 265 that completely divides 265 are.
1, 5, 53, 265
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
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
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
GCD of numbers is the greatest common divisor
So, the GCD (265, 765, 880, 525) = 5.
Given numbers are 265, 765, 880, 525
The list of prime factors of all numbers are
Prime factors of 265 are 5 x 53
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 525 are 3 x 5 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 265, 765, 880, 525 is 5.
Given numbers are 265, 765, 880, 525
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(265, 765) = 40545
GCD(265, 765) = ( 265 x 765 ) / 40545
= 265 / 765
= 265
Step2:
LCM(5, 880) = 880
GCD(5, 880) = ( 5 x 880 ) / 880
= 5 / 880
= 5
Step3:
LCM(5, 525) = 525
GCD(5, 525) = ( 5 x 525 ) / 525
= 5 / 525
= 5
So, Greatest Common Divisor of 265, 765, 880, 525 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 265, 765, 880, 525
The greatest common divisor of numbers 265, 765, 880, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 265, 765, 880, 525 is 5.
1. What is the GCD of 265, 765, 880, 525?
GCD of given numbers 265, 765, 880, 525 is 5
2. How to calculate the greatest common divisor of 265, 765, 880, 525?
We can find the highest common divisor of 265, 765, 880, 525 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 265, 765, 880, 525 i.e 5.
3. How can I use the GCD of 265, 765, 880, 525Calculator?
Out the numbers 265, 765, 880, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.