GCD of 114, 748, 38, 780 Calculator

Given Input numbers are 114, 748, 38, 780

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

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 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

GCD of numbers is the greatest common divisor

So, the GCD (114, 748, 38, 780) = 2.

Given numbers are 114, 748, 38, 780

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

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

Prime factors of 38 are 2 x 19

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 114, 748, 38, 780 is 2.

Given numbers are 114, 748, 38, 780

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

Apply this formula for all numbers.

Step1:

LCM(114, 748) = 42636

GCD(114, 748) = ( 114 x 748 ) / 42636

= 114 / 748

= 114

Step2:

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

= 2 / 38

= 2

Step3:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

So, Greatest Common Divisor of 114, 748, 38, 780 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 176, 33, 208
• GCD of 703, 343, 42, 173
• GCD of 356, 986, 62, 405
• GCD of 223, 172, 10, 505
• GCD of 193, 348, 22, 285

Given numbers are 114, 748, 38, 780
The greatest common divisor of numbers 114, 748, 38, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 748, 38, 780 is 2.

1. What is the GCD of 114, 748, 38, 780?

GCD of given numbers 114, 748, 38, 780 is 2

2. How to calculate the greatest common divisor of 114, 748, 38, 780?

We can find the highest common divisor of 114, 748, 38, 780 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 114, 748, 38, 780 i.e 2.

3. How can I use the GCD of 114, 748, 38, 780Calculator?

Out the numbers 114, 748, 38, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.