Online GCD Calculator is useful to find the GCD of 240, 765, 52, 588 quickly. Get the easiest ways to solve the greatest common divisor of 240, 765, 52, 588 i.e 1 in different methods as follows.
Given Input numbers are 240, 765, 52, 588
In the factoring method, we have to find the divisors of all numbers
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
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 52 :
The positive integer divisors of 52 that completely divides 52 are.
1, 2, 4, 13, 26, 52
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
GCD of numbers is the greatest common divisor
So, the GCD (240, 765, 52, 588) = 1.
Given numbers are 240, 765, 52, 588
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 52 are 2 x 2 x 13
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 240, 765, 52, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 765) = 12240
GCD(240, 765) = ( 240 x 765 ) / 12240
= 240 / 765
= 240
Step2:
LCM(15, 52) = 780
GCD(15, 52) = ( 15 x 52 ) / 780
= 15 / 52
= 15
Step3:
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
= 1 / 588
= 1
So, Greatest Common Divisor of 240, 765, 52, 588 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 765, 52, 588
The greatest common divisor of numbers 240, 765, 52, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 765, 52, 588 is 1.
1. What is the GCD of 240, 765, 52, 588?
GCD of given numbers 240, 765, 52, 588 is 1
2. How to calculate the greatest common divisor of 240, 765, 52, 588?
We can find the highest common divisor of 240, 765, 52, 588 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 240, 765, 52, 588 i.e 1.
3. How can I use the GCD of 240, 765, 52, 588Calculator?
Out the numbers 240, 765, 52, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.