GCD of 687, 969, 42 Calculator

Given Input numbers are 687, 969, 42

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

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

GCD of numbers is the greatest common divisor

So, the GCD (687, 969, 42) = 3.

Given numbers are 687, 969, 42

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 969 are 3 x 17 x 19

Prime factors of 42 are 2 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 687, 969, 42 is 3.

Given numbers are 687, 969, 42

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

Apply this formula for all numbers.

Step1:

LCM(687, 969) = 221901

GCD(687, 969) = ( 687 x 969 ) / 221901

= 687 / 969

= 687

Step2:

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

= 3 / 42

= 3

So, Greatest Common Divisor of 687, 969, 42 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 866, 21
• GCD of 437, 611, 80
• GCD of 814, 543, 16
• GCD of 363, 400, 26
• GCD of 764, 285, 76

Given numbers are 687, 969, 42
The greatest common divisor of numbers 687, 969, 42 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 969, 42 is 3.

1. What is the GCD of 687, 969, 42?

GCD of given numbers 687, 969, 42 is 3

2. How to calculate the greatest common divisor of 687, 969, 42?

We can find the highest common divisor of 687, 969, 42 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 687, 969, 42 i.e 3.

3. How can I use the GCD of 687, 969, 42Calculator?

Out the numbers 687, 969, 42 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.