GCD of 765, 690, 815, 520 Calculator

Given Input numbers are 765, 690, 815, 520

In the factoring method, we have to find the divisors of all numbers

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 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 815 :

The positive integer divisors of 815 that completely divides 815 are.

1, 5, 163, 815

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

GCD of numbers is the greatest common divisor

So, the GCD (765, 690, 815, 520) = 5.

Given numbers are 765, 690, 815, 520

The list of prime factors of all numbers are

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 815 are 5 x 163

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

The highest common occurrence is 5¹

Therefore, GCD of 765, 690, 815, 520 is 5.

Given numbers are 765, 690, 815, 520

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(765, 690) = 35190

GCD(765, 690) = ( 765 x 690 ) / 35190

= 765 / 690

= 765

Step2:

LCM(15, 815) = 2445

GCD(15, 815) = ( 15 x 815 ) / 2445

= 15 / 815

= 15

Step3:

LCM(5, 520) = 520

GCD(5, 520) = ( 5 x 520 ) / 520

= 5 / 520

= 5

So, Greatest Common Divisor of 765, 690, 815, 520 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 764, 146, 735
• GCD of 405, 822, 365, 450
• GCD of 687, 400, 861, 676
• GCD of 153, 901, 996, 925
• GCD of 573, 902, 384, 784

Given numbers are 765, 690, 815, 520
The greatest common divisor of numbers 765, 690, 815, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 690, 815, 520 is 5.

1. What is the GCD of 765, 690, 815, 520?

GCD of given numbers 765, 690, 815, 520 is 5

2. How to calculate the greatest common divisor of 765, 690, 815, 520?

We can find the highest common divisor of 765, 690, 815, 520 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 765, 690, 815, 520 i.e 5.

3. How can I use the GCD of 765, 690, 815, 520Calculator?

Out the numbers 765, 690, 815, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.