GCD of 680, 260, 280, 765 Calculator

Given Input numbers are 680, 260, 280, 765

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

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

GCD of numbers is the greatest common divisor

So, the GCD (680, 260, 280, 765) = 5.

Given numbers are 680, 260, 280, 765

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

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

The highest common occurrence is 5¹

Therefore, GCD of 680, 260, 280, 765 is 5.

Given numbers are 680, 260, 280, 765

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

Apply this formula for all numbers.

Step1:

LCM(680, 260) = 8840

GCD(680, 260) = ( 680 x 260 ) / 8840

= 680 / 260

= 680

Step2:

LCM(20, 280) = 280

GCD(20, 280) = ( 20 x 280 ) / 280

= 20 / 280

= 20

Step3:

LCM(20, 765) = 3060

GCD(20, 765) = ( 20 x 765 ) / 3060

= 20 / 765

= 20

So, Greatest Common Divisor of 680, 260, 280, 765 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 324, 535, 895
• GCD of 256, 348, 474, 901
• GCD of 167, 475, 924, 187
• GCD of 324, 293, 633, 483
• GCD of 510, 884, 401, 702

Given numbers are 680, 260, 280, 765
The greatest common divisor of numbers 680, 260, 280, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 260, 280, 765 is 5.

1. What is the GCD of 680, 260, 280, 765?

GCD of given numbers 680, 260, 280, 765 is 5

2. How to calculate the greatest common divisor of 680, 260, 280, 765?

We can find the highest common divisor of 680, 260, 280, 765 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 680, 260, 280, 765 i.e 5.

3. How can I use the GCD of 680, 260, 280, 765Calculator?

Out the numbers 680, 260, 280, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.