GCD of 644, 768, 680, 104 Calculator

Given Input numbers are 644, 768, 680, 104

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

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

GCD of numbers is the greatest common divisor

So, the GCD (644, 768, 680, 104) = 4.

Given numbers are 644, 768, 680, 104

The list of prime factors of all numbers are

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 104 are 2 x 2 x 2 x 13

The highest common occurrence is 2²

Therefore, GCD of 644, 768, 680, 104 is 4.

Given numbers are 644, 768, 680, 104

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

Apply this formula for all numbers.

Step1:

LCM(644, 768) = 123648

GCD(644, 768) = ( 644 x 768 ) / 123648

= 644 / 768

= 644

Step2:

LCM(4, 680) = 680

GCD(4, 680) = ( 4 x 680 ) / 680

= 4 / 680

= 4

Step3:

LCM(4, 104) = 104

GCD(4, 104) = ( 4 x 104 ) / 104

= 4 / 104

= 4

So, Greatest Common Divisor of 644, 768, 680, 104 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 867, 514, 986, 438
• GCD of 744, 588, 301, 437
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• GCD of 812, 960, 660, 253
• GCD of 838, 190, 275, 132

Given numbers are 644, 768, 680, 104
The greatest common divisor of numbers 644, 768, 680, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 644, 768, 680, 104 is 4.

1. What is the GCD of 644, 768, 680, 104?

GCD of given numbers 644, 768, 680, 104 is 4

2. How to calculate the greatest common divisor of 644, 768, 680, 104?

We can find the highest common divisor of 644, 768, 680, 104 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 644, 768, 680, 104 i.e 4.

3. How can I use the GCD of 644, 768, 680, 104Calculator?

Out the numbers 644, 768, 680, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.