GCD of 748, 440, 561, 108 Calculator

Given Input numbers are 748, 440, 561, 108

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (748, 440, 561, 108) = 1.

Given numbers are 748, 440, 561, 108

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 561 are 3 x 11 x 17

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 748, 440, 561, 108

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

Apply this formula for all numbers.

Step1:

LCM(748, 440) = 7480

GCD(748, 440) = ( 748 x 440 ) / 7480

= 748 / 440

= 748

Step2:

LCM(44, 561) = 2244

GCD(44, 561) = ( 44 x 561 ) / 2244

= 44 / 561

= 44

Step3:

LCM(11, 108) = 1188

GCD(11, 108) = ( 11 x 108 ) / 1188

= 11 / 108

= 11

So, Greatest Common Divisor of 748, 440, 561, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 604, 486, 618
• GCD of 596, 976, 514, 558
• GCD of 667, 290, 521, 831
• GCD of 191, 865, 743, 366
• GCD of 874, 371, 846, 527

Given numbers are 748, 440, 561, 108
The greatest common divisor of numbers 748, 440, 561, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 440, 561, 108 is 1.

1. What is the GCD of 748, 440, 561, 108?

GCD of given numbers 748, 440, 561, 108 is 1

2. How to calculate the greatest common divisor of 748, 440, 561, 108?

We can find the highest common divisor of 748, 440, 561, 108 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 748, 440, 561, 108 i.e 1.

3. How can I use the GCD of 748, 440, 561, 108Calculator?

Out the numbers 748, 440, 561, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.