GCD of 130, 768, 340, 653 Calculator

Given Input numbers are 130, 768, 340, 653

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

GCD of numbers is the greatest common divisor

So, the GCD (130, 768, 340, 653) = 1.

Given numbers are 130, 768, 340, 653

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 653 are 653

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 130, 768, 340, 653

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

Apply this formula for all numbers.

Step1:

LCM(130, 768) = 49920

GCD(130, 768) = ( 130 x 768 ) / 49920

= 130 / 768

= 130

Step2:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

Step3:

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

= 2 / 653

= 2

So, Greatest Common Divisor of 130, 768, 340, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 447, 986, 808
• GCD of 566, 837, 752, 867
• GCD of 754, 272, 733, 198
• GCD of 602, 705, 609, 563
• GCD of 166, 402, 388, 889

Given numbers are 130, 768, 340, 653
The greatest common divisor of numbers 130, 768, 340, 653 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 768, 340, 653 is 1.

1. What is the GCD of 130, 768, 340, 653?

GCD of given numbers 130, 768, 340, 653 is 1

2. How to calculate the greatest common divisor of 130, 768, 340, 653?

We can find the highest common divisor of 130, 768, 340, 653 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 130, 768, 340, 653 i.e 1.

3. How can I use the GCD of 130, 768, 340, 653Calculator?

Out the numbers 130, 768, 340, 653 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.