GCD of 380, 754, 304, 112 Calculator

Given Input numbers are 380, 754, 304, 112

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (380, 754, 304, 112) = 2.

Given numbers are 380, 754, 304, 112

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 754 are 2 x 13 x 29

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 380, 754, 304, 112 is 2.

Given numbers are 380, 754, 304, 112

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

Apply this formula for all numbers.

Step1:

LCM(380, 754) = 143260

GCD(380, 754) = ( 380 x 754 ) / 143260

= 380 / 754

= 380

Step2:

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

= 2 / 304

= 2

Step3:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

So, Greatest Common Divisor of 380, 754, 304, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 944, 110, 372
• GCD of 915, 937, 881, 769
• GCD of 108, 317, 848, 328
• GCD of 886, 309, 624, 913
• GCD of 385, 721, 703, 713

Given numbers are 380, 754, 304, 112
The greatest common divisor of numbers 380, 754, 304, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 754, 304, 112 is 2.

1. What is the GCD of 380, 754, 304, 112?

GCD of given numbers 380, 754, 304, 112 is 2

2. How to calculate the greatest common divisor of 380, 754, 304, 112?

We can find the highest common divisor of 380, 754, 304, 112 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 380, 754, 304, 112 i.e 2.

3. How can I use the GCD of 380, 754, 304, 112Calculator?

Out the numbers 380, 754, 304, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.