GCD of 104, 644, 744, 268 Calculator

Given Input numbers are 104, 644, 744, 268

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

Divisors of 104 :

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

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

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 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (104, 644, 744, 268) = 4.

Given numbers are 104, 644, 744, 268

The list of prime factors of all numbers are

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

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

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 2²

Therefore, GCD of 104, 644, 744, 268 is 4.

Given numbers are 104, 644, 744, 268

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

Apply this formula for all numbers.

Step1:

LCM(104, 644) = 16744

GCD(104, 644) = ( 104 x 644 ) / 16744

= 104 / 644

= 104

Step2:

LCM(4, 744) = 744

GCD(4, 744) = ( 4 x 744 ) / 744

= 4 / 744

= 4

Step3:

LCM(4, 268) = 268

GCD(4, 268) = ( 4 x 268 ) / 268

= 4 / 268

= 4

So, Greatest Common Divisor of 104, 644, 744, 268 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 387, 558, 785
• GCD of 771, 244, 200, 500
• GCD of 226, 947, 153, 206
• GCD of 587, 490, 577, 247
• GCD of 853, 252, 129, 159

Given numbers are 104, 644, 744, 268
The greatest common divisor of numbers 104, 644, 744, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 644, 744, 268 is 4.

1. What is the GCD of 104, 644, 744, 268?

GCD of given numbers 104, 644, 744, 268 is 4

2. How to calculate the greatest common divisor of 104, 644, 744, 268?

We can find the highest common divisor of 104, 644, 744, 268 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 104, 644, 744, 268 i.e 4.

3. How can I use the GCD of 104, 644, 744, 268Calculator?

Out the numbers 104, 644, 744, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.