GCD of 748, 104, 826, 109 Calculator

Given Input numbers are 748, 104, 826, 109

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 104 :

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

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

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (748, 104, 826, 109) = 1.

Given numbers are 748, 104, 826, 109

The list of prime factors of all numbers are

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

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

Prime factors of 826 are 2 x 7 x 59

Prime factors of 109 are 109

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

Given numbers are 748, 104, 826, 109

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

Apply this formula for all numbers.

Step1:

LCM(748, 104) = 19448

GCD(748, 104) = ( 748 x 104 ) / 19448

= 748 / 104

= 748

Step2:

LCM(4, 826) = 1652

GCD(4, 826) = ( 4 x 826 ) / 1652

= 4 / 826

= 4

Step3:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2

So, Greatest Common Divisor of 748, 104, 826, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 538, 809, 857
• GCD of 850, 768, 626, 485
• GCD of 363, 146, 915, 308
• GCD of 629, 487, 362, 143
• GCD of 448, 628, 173, 286

Given numbers are 748, 104, 826, 109
The greatest common divisor of numbers 748, 104, 826, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 104, 826, 109 is 1.

1. What is the GCD of 748, 104, 826, 109?

GCD of given numbers 748, 104, 826, 109 is 1

2. How to calculate the greatest common divisor of 748, 104, 826, 109?

We can find the highest common divisor of 748, 104, 826, 109 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, 104, 826, 109 i.e 1.

3. How can I use the GCD of 748, 104, 826, 109Calculator?

Out the numbers 748, 104, 826, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.