GCD of 238, 460, 375, 744 Calculator

Given Input numbers are 238, 460, 375, 744

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (238, 460, 375, 744) = 1.

Given numbers are 238, 460, 375, 744

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

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

Given numbers are 238, 460, 375, 744

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

Apply this formula for all numbers.

Step1:

LCM(238, 460) = 54740

GCD(238, 460) = ( 238 x 460 ) / 54740

= 238 / 460

= 238

Step2:

LCM(2, 375) = 750

GCD(2, 375) = ( 2 x 375 ) / 750

= 2 / 375

= 2

Step3:

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

= 1 / 744

= 1

So, Greatest Common Divisor of 238, 460, 375, 744 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 576, 230, 311
• GCD of 653, 429, 115, 778
• GCD of 571, 779, 628, 939
• GCD of 241, 694, 619, 831
• GCD of 752, 874, 260, 561

Given numbers are 238, 460, 375, 744
The greatest common divisor of numbers 238, 460, 375, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 460, 375, 744 is 1.

1. What is the GCD of 238, 460, 375, 744?

GCD of given numbers 238, 460, 375, 744 is 1

2. How to calculate the greatest common divisor of 238, 460, 375, 744?

We can find the highest common divisor of 238, 460, 375, 744 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 238, 460, 375, 744 i.e 1.

3. How can I use the GCD of 238, 460, 375, 744Calculator?

Out the numbers 238, 460, 375, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.