GCD of 642, 825, 654, 240 Calculator

Given Input numbers are 642, 825, 654, 240

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 654 :

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

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

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 (642, 825, 654, 240) = 3.

Given numbers are 642, 825, 654, 240

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 654 are 2 x 3 x 109

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 642, 825, 654, 240 is 3.

Given numbers are 642, 825, 654, 240

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

Apply this formula for all numbers.

Step1:

LCM(642, 825) = 176550

GCD(642, 825) = ( 642 x 825 ) / 176550

= 642 / 825

= 642

Step2:

LCM(3, 654) = 654

GCD(3, 654) = ( 3 x 654 ) / 654

= 3 / 654

= 3

Step3:

LCM(3, 240) = 240

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

= 3 / 240

= 3

So, Greatest Common Divisor of 642, 825, 654, 240 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 456, 868, 267
• GCD of 528, 322, 916, 533
• GCD of 442, 671, 678, 832
• GCD of 376, 419, 106, 447
• GCD of 870, 180, 109, 446

Given numbers are 642, 825, 654, 240
The greatest common divisor of numbers 642, 825, 654, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 825, 654, 240 is 3.

1. What is the GCD of 642, 825, 654, 240?

GCD of given numbers 642, 825, 654, 240 is 3

2. How to calculate the greatest common divisor of 642, 825, 654, 240?

We can find the highest common divisor of 642, 825, 654, 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 642, 825, 654, 240 i.e 3.

3. How can I use the GCD of 642, 825, 654, 240Calculator?

Out the numbers 642, 825, 654, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.