GCD of 748, 538, 398, 104 Calculator

Given Input numbers are 748, 538, 398, 104

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 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

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 (748, 538, 398, 104) = 2.

Given numbers are 748, 538, 398, 104

The list of prime factors of all numbers are

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

Prime factors of 538 are 2 x 269

Prime factors of 398 are 2 x 199

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

The highest common occurrence is 2¹

Therefore, GCD of 748, 538, 398, 104 is 2.

Given numbers are 748, 538, 398, 104

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

Apply this formula for all numbers.

Step1:

LCM(748, 538) = 201212

GCD(748, 538) = ( 748 x 538 ) / 201212

= 748 / 538

= 748

Step2:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

Step3:

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

= 2 / 104

= 2

So, Greatest Common Divisor of 748, 538, 398, 104 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 878, 521, 260
• GCD of 720, 434, 671, 285
• GCD of 337, 756, 185, 244
• GCD of 512, 879, 726, 158
• GCD of 864, 913, 692, 478

Given numbers are 748, 538, 398, 104
The greatest common divisor of numbers 748, 538, 398, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 538, 398, 104 is 2.

1. What is the GCD of 748, 538, 398, 104?

GCD of given numbers 748, 538, 398, 104 is 2

2. How to calculate the greatest common divisor of 748, 538, 398, 104?

We can find the highest common divisor of 748, 538, 398, 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 748, 538, 398, 104 i.e 2.

3. How can I use the GCD of 748, 538, 398, 104Calculator?

Out the numbers 748, 538, 398, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.