GCD of 867, 173, 746, 689 Calculator

Given Input numbers are 867, 173, 746, 689

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

Divisors of 867 :

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

1, 3, 17, 51, 289, 867

Divisors of 173 :

The positive integer divisors of 173 that completely divides 173 are.

1, 173

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

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 (867, 173, 746, 689) = 1.

Given numbers are 867, 173, 746, 689

The list of prime factors of all numbers are

Prime factors of 867 are 3 x 17 x 17

Prime factors of 173 are 173

Prime factors of 746 are 2 x 373

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 867, 173, 746, 689

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

Apply this formula for all numbers.

Step1:

LCM(867, 173) = 149991

GCD(867, 173) = ( 867 x 173 ) / 149991

= 867 / 173

= 867

Step2:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1

Step3:

LCM(1, 689) = 689

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

= 1 / 689

= 1

So, Greatest Common Divisor of 867, 173, 746, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 723, 165, 393
• GCD of 945, 447, 890, 341
• GCD of 757, 428, 564, 925
• GCD of 492, 325, 707, 424
• GCD of 218, 431, 428, 116

Given numbers are 867, 173, 746, 689
The greatest common divisor of numbers 867, 173, 746, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 173, 746, 689 is 1.

1. What is the GCD of 867, 173, 746, 689?

GCD of given numbers 867, 173, 746, 689 is 1

2. How to calculate the greatest common divisor of 867, 173, 746, 689?

We can find the highest common divisor of 867, 173, 746, 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 867, 173, 746, 689 i.e 1.

3. How can I use the GCD of 867, 173, 746, 689Calculator?

Out the numbers 867, 173, 746, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.