GCD of 687, 939, 738 Calculator

Given Input numbers are 687, 939, 738

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 939 :

The positive integer divisors of 939 that completely divides 939 are.

1, 3, 313, 939

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (687, 939, 738) = 3.

Given numbers are 687, 939, 738

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 939 are 3 x 313

Prime factors of 738 are 2 x 3 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 687, 939, 738 is 3.

Given numbers are 687, 939, 738

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

Apply this formula for all numbers.

Step1:

LCM(687, 939) = 215031

GCD(687, 939) = ( 687 x 939 ) / 215031

= 687 / 939

= 687

Step2:

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

= 3 / 738

= 3

So, Greatest Common Divisor of 687, 939, 738 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 398, 772
• GCD of 679, 696, 476
• GCD of 944, 384, 675
• GCD of 962, 363, 570
• GCD of 969, 163, 810

Given numbers are 687, 939, 738
The greatest common divisor of numbers 687, 939, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 939, 738 is 3.

1. What is the GCD of 687, 939, 738?

GCD of given numbers 687, 939, 738 is 3

2. How to calculate the greatest common divisor of 687, 939, 738?

We can find the highest common divisor of 687, 939, 738 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, 939, 738 i.e 3.

3. How can I use the GCD of 687, 939, 738Calculator?

Out the numbers 687, 939, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.