Online GCD Calculator is useful to find the GCD of 390, 520, 767, 715 quickly. Get the easiest ways to solve the greatest common divisor of 390, 520, 767, 715 i.e 13 in different methods as follows.
Given Input numbers are 390, 520, 767, 715
In the factoring method, we have to find the divisors of all numbers
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
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 767 :
The positive integer divisors of 767 that completely divides 767 are.
1, 13, 59, 767
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
GCD of numbers is the greatest common divisor
So, the GCD (390, 520, 767, 715) = 13.
Given numbers are 390, 520, 767, 715
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 767 are 13 x 59
Prime factors of 715 are 5 x 11 x 13
The highest common occurrence is 131
Therefore, GCD of 390, 520, 767, 715 is 13.
Given numbers are 390, 520, 767, 715
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 520) = 1560
GCD(390, 520) = ( 390 x 520 ) / 1560
= 390 / 520
= 390
Step2:
LCM(130, 767) = 7670
GCD(130, 767) = ( 130 x 767 ) / 7670
= 130 / 767
= 130
Step3:
LCM(13, 715) = 715
GCD(13, 715) = ( 13 x 715 ) / 715
= 13 / 715
= 13
So, Greatest Common Divisor of 390, 520, 767, 715 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 390, 520, 767, 715
The greatest common divisor of numbers 390, 520, 767, 715 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 520, 767, 715 is 13.
1. What is the GCD of 390, 520, 767, 715?
GCD of given numbers 390, 520, 767, 715 is 13
2. How to calculate the greatest common divisor of 390, 520, 767, 715?
We can find the highest common divisor of 390, 520, 767, 715 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 390, 520, 767, 715 i.e 13.
3. How can I use the GCD of 390, 520, 767, 715Calculator?
Out the numbers 390, 520, 767, 715 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.