GCD of 918, 245, 114, 689 Calculator

Given Input numbers are 918, 245, 114, 689

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 689 :

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

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (918, 245, 114, 689) = 1.

Given numbers are 918, 245, 114, 689

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 245 are 5 x 7 x 7

Prime factors of 114 are 2 x 3 x 19

Prime factors of 689 are 13 x 53

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

Given numbers are 918, 245, 114, 689

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

Apply this formula for all numbers.

Step1:

LCM(918, 245) = 224910

GCD(918, 245) = ( 918 x 245 ) / 224910

= 918 / 245

= 918

Step2:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 918, 245, 114, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 385, 338, 888
• GCD of 245, 691, 959, 641
• GCD of 424, 125, 911, 835
• GCD of 789, 297, 784, 661
• GCD of 582, 305, 903, 124

Given numbers are 918, 245, 114, 689
The greatest common divisor of numbers 918, 245, 114, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 245, 114, 689 is 1.

1. What is the GCD of 918, 245, 114, 689?

GCD of given numbers 918, 245, 114, 689 is 1

2. How to calculate the greatest common divisor of 918, 245, 114, 689?

We can find the highest common divisor of 918, 245, 114, 689 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 918, 245, 114, 689 i.e 1.

3. How can I use the GCD of 918, 245, 114, 689Calculator?

Out the numbers 918, 245, 114, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.