GCD of 654, 687, 738, 963 Calculator

Given Input numbers are 654, 687, 738, 963

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 687 :

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

1, 3, 229, 687

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

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

GCD of numbers is the greatest common divisor

So, the GCD (654, 687, 738, 963) = 3.

Given numbers are 654, 687, 738, 963

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 687 are 3 x 229

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

Prime factors of 963 are 3 x 3 x 107

The highest common occurrence is 3¹

Therefore, GCD of 654, 687, 738, 963 is 3.

Given numbers are 654, 687, 738, 963

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

Apply this formula for all numbers.

Step1:

LCM(654, 687) = 149766

GCD(654, 687) = ( 654 x 687 ) / 149766

= 654 / 687

= 654

Step2:

LCM(3, 738) = 738

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

= 3 / 738

= 3

Step3:

LCM(3, 963) = 963

GCD(3, 963) = ( 3 x 963 ) / 963

= 3 / 963

= 3

So, Greatest Common Divisor of 654, 687, 738, 963 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 109, 922, 337
• GCD of 686, 201, 210, 577
• GCD of 536, 336, 953, 680
• GCD of 458, 548, 503, 372
• GCD of 484, 551, 209, 539

Given numbers are 654, 687, 738, 963
The greatest common divisor of numbers 654, 687, 738, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 687, 738, 963 is 3.

1. What is the GCD of 654, 687, 738, 963?

GCD of given numbers 654, 687, 738, 963 is 3

2. How to calculate the greatest common divisor of 654, 687, 738, 963?

We can find the highest common divisor of 654, 687, 738, 963 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 654, 687, 738, 963 i.e 3.

3. How can I use the GCD of 654, 687, 738, 963Calculator?

Out the numbers 654, 687, 738, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.