Online GCD Calculator is useful to find the GCD of 520, 660, 750, 780 quickly. Get the easiest ways to solve the greatest common divisor of 520, 660, 750, 780 i.e 10 in different methods as follows.
Given Input numbers are 520, 660, 750, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
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 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
GCD of numbers is the greatest common divisor
So, the GCD (520, 660, 750, 780) = 10.
Given numbers are 520, 660, 750, 780
The list of prime factors of all numbers are
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The highest common occurrence is 21 x 51
Therefore, GCD of 520, 660, 750, 780 is 10.
Given numbers are 520, 660, 750, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 660) = 17160
GCD(520, 660) = ( 520 x 660 ) / 17160
= 520 / 660
= 520
Step2:
LCM(20, 750) = 1500
GCD(20, 750) = ( 20 x 750 ) / 1500
= 20 / 750
= 20
Step3:
LCM(10, 780) = 780
GCD(10, 780) = ( 10 x 780 ) / 780
= 10 / 780
= 10
So, Greatest Common Divisor of 520, 660, 750, 780 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 660, 750, 780
The greatest common divisor of numbers 520, 660, 750, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 660, 750, 780 is 10.
1. What is the GCD of 520, 660, 750, 780?
GCD of given numbers 520, 660, 750, 780 is 10
2. How to calculate the greatest common divisor of 520, 660, 750, 780?
We can find the highest common divisor of 520, 660, 750, 780 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 520, 660, 750, 780 i.e 10.
3. How can I use the GCD of 520, 660, 750, 780Calculator?
Out the numbers 520, 660, 750, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.