GCD of 689, 867, 974, 116 Calculator

Given Input numbers are 689, 867, 974, 116

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 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (689, 867, 974, 116) = 1.

Given numbers are 689, 867, 974, 116

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 867 are 3 x 17 x 17

Prime factors of 974 are 2 x 487

Prime factors of 116 are 2 x 2 x 29

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

Given numbers are 689, 867, 974, 116

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

Apply this formula for all numbers.

Step1:

LCM(689, 867) = 597363

GCD(689, 867) = ( 689 x 867 ) / 597363

= 689 / 867

= 689

Step2:

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

= 1 / 974

= 1

Step3:

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

= 1 / 116

= 1

So, Greatest Common Divisor of 689, 867, 974, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 355, 372, 617
• GCD of 946, 208, 451, 383
• GCD of 543, 650, 168, 435
• GCD of 960, 277, 484, 973
• GCD of 220, 425, 343, 439

Given numbers are 689, 867, 974, 116
The greatest common divisor of numbers 689, 867, 974, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 867, 974, 116 is 1.

1. What is the GCD of 689, 867, 974, 116?

GCD of given numbers 689, 867, 974, 116 is 1

2. How to calculate the greatest common divisor of 689, 867, 974, 116?

We can find the highest common divisor of 689, 867, 974, 116 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, 867, 974, 116 i.e 1.

3. How can I use the GCD of 689, 867, 974, 116Calculator?

Out the numbers 689, 867, 974, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.