GCD of 642, 384, 276, 915 Calculator

Given Input numbers are 642, 384, 276, 915

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

GCD of numbers is the greatest common divisor

So, the GCD (642, 384, 276, 915) = 3.

Given numbers are 642, 384, 276, 915

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 915 are 3 x 5 x 61

The highest common occurrence is 3¹

Therefore, GCD of 642, 384, 276, 915 is 3.

Given numbers are 642, 384, 276, 915

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

Apply this formula for all numbers.

Step1:

LCM(642, 384) = 41088

GCD(642, 384) = ( 642 x 384 ) / 41088

= 642 / 384

= 642

Step2:

LCM(6, 276) = 276

GCD(6, 276) = ( 6 x 276 ) / 276

= 6 / 276

= 6

Step3:

LCM(6, 915) = 1830

GCD(6, 915) = ( 6 x 915 ) / 1830

= 6 / 915

= 6

So, Greatest Common Divisor of 642, 384, 276, 915 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 216, 150, 295
• GCD of 345, 134, 612, 428
• GCD of 941, 792, 493, 519
• GCD of 857, 569, 628, 589
• GCD of 937, 982, 700, 238

Given numbers are 642, 384, 276, 915
The greatest common divisor of numbers 642, 384, 276, 915 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 384, 276, 915 is 3.

1. What is the GCD of 642, 384, 276, 915?

GCD of given numbers 642, 384, 276, 915 is 3

2. How to calculate the greatest common divisor of 642, 384, 276, 915?

We can find the highest common divisor of 642, 384, 276, 915 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, 384, 276, 915 i.e 3.

3. How can I use the GCD of 642, 384, 276, 915Calculator?

Out the numbers 642, 384, 276, 915 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.