GCD of 654, 687, 318, 240 Calculator

Given Input numbers are 654, 687, 318, 240

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 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (654, 687, 318, 240) = 3.

Given numbers are 654, 687, 318, 240

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 318 are 2 x 3 x 53

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 654, 687, 318, 240 is 3.

Given numbers are 654, 687, 318, 240

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, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

= 3 / 318

= 3

Step3:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3

So, Greatest Common Divisor of 654, 687, 318, 240 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 313, 211, 975
• GCD of 360, 455, 259, 857
• GCD of 445, 669, 303, 169
• GCD of 416, 649, 943, 288
• GCD of 855, 376, 788, 987

Given numbers are 654, 687, 318, 240
The greatest common divisor of numbers 654, 687, 318, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 687, 318, 240 is 3.

1. What is the GCD of 654, 687, 318, 240?

GCD of given numbers 654, 687, 318, 240 is 3

2. How to calculate the greatest common divisor of 654, 687, 318, 240?

We can find the highest common divisor of 654, 687, 318, 240 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, 318, 240 i.e 3.

3. How can I use the GCD of 654, 687, 318, 240Calculator?

Out the numbers 654, 687, 318, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.