GCD of 689, 520, 190, 760 Calculator

Given Input numbers are 689, 520, 190, 760

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

GCD of numbers is the greatest common divisor

So, the GCD (689, 520, 190, 760) = 1.

Given numbers are 689, 520, 190, 760

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

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

Prime factors of 190 are 2 x 5 x 19

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

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

Given numbers are 689, 520, 190, 760

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

Apply this formula for all numbers.

Step1:

LCM(689, 520) = 27560

GCD(689, 520) = ( 689 x 520 ) / 27560

= 689 / 520

= 689

Step2:

LCM(13, 190) = 2470

GCD(13, 190) = ( 13 x 190 ) / 2470

= 13 / 190

= 13

Step3:

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

= 1 / 760

= 1

So, Greatest Common Divisor of 689, 520, 190, 760 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 201, 926, 282
• GCD of 369, 595, 235, 688
• GCD of 535, 224, 529, 726
• GCD of 122, 208, 330, 603
• GCD of 646, 986, 452, 378

Given numbers are 689, 520, 190, 760
The greatest common divisor of numbers 689, 520, 190, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 520, 190, 760 is 1.

1. What is the GCD of 689, 520, 190, 760?

GCD of given numbers 689, 520, 190, 760 is 1

2. How to calculate the greatest common divisor of 689, 520, 190, 760?

We can find the highest common divisor of 689, 520, 190, 760 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 689, 520, 190, 760 i.e 1.

3. How can I use the GCD of 689, 520, 190, 760Calculator?

Out the numbers 689, 520, 190, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.