GCD of 110, 689, 313, 364 Calculator

Given Input numbers are 110, 689, 313, 364

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

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (110, 689, 313, 364) = 1.

Given numbers are 110, 689, 313, 364

The list of prime factors of all numbers are

Prime factors of 110 are 2 x 5 x 11

Prime factors of 689 are 13 x 53

Prime factors of 313 are 313

Prime factors of 364 are 2 x 2 x 7 x 13

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

Given numbers are 110, 689, 313, 364

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

Apply this formula for all numbers.

Step1:

LCM(110, 689) = 75790

GCD(110, 689) = ( 110 x 689 ) / 75790

= 110 / 689

= 110

Step2:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1

Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

So, Greatest Common Divisor of 110, 689, 313, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 418, 853, 752, 655
• GCD of 653, 456, 140, 813
• GCD of 123, 628, 544, 840
• GCD of 903, 179, 187, 555
• GCD of 182, 922, 179, 369

Given numbers are 110, 689, 313, 364
The greatest common divisor of numbers 110, 689, 313, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 689, 313, 364 is 1.

1. What is the GCD of 110, 689, 313, 364?

GCD of given numbers 110, 689, 313, 364 is 1

2. How to calculate the greatest common divisor of 110, 689, 313, 364?

We can find the highest common divisor of 110, 689, 313, 364 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 110, 689, 313, 364 i.e 1.

3. How can I use the GCD of 110, 689, 313, 364Calculator?

Out the numbers 110, 689, 313, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.