GCD of 689, 716, 26, 920 Calculator

Given Input numbers are 689, 716, 26, 920

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 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 26 :

The positive integer divisors of 26 that completely divides 26 are.

1, 2, 13, 26

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (689, 716, 26, 920) = 1.

Given numbers are 689, 716, 26, 920

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 716 are 2 x 2 x 179

Prime factors of 26 are 2 x 13

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Given numbers are 689, 716, 26, 920

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

Apply this formula for all numbers.

Step1:

LCM(689, 716) = 493324

GCD(689, 716) = ( 689 x 716 ) / 493324

= 689 / 716

= 689

Step2:

LCM(1, 26) = 26

GCD(1, 26) = ( 1 x 26 ) / 26

= 1 / 26

= 1

Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

So, Greatest Common Divisor of 689, 716, 26, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 142, 69, 620
• GCD of 757, 916, 53, 649
• GCD of 844, 509, 24, 879
• GCD of 711, 848, 40, 131
• GCD of 368, 125, 95, 531

Given numbers are 689, 716, 26, 920
The greatest common divisor of numbers 689, 716, 26, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 716, 26, 920 is 1.

1. What is the GCD of 689, 716, 26, 920?

GCD of given numbers 689, 716, 26, 920 is 1

2. How to calculate the greatest common divisor of 689, 716, 26, 920?

We can find the highest common divisor of 689, 716, 26, 920 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, 716, 26, 920 i.e 1.

3. How can I use the GCD of 689, 716, 26, 920Calculator?

Out the numbers 689, 716, 26, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.