GCD of 238, 345, 912, 749 Calculator

Given Input numbers are 238, 345, 912, 749

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (238, 345, 912, 749) = 1.

Given numbers are 238, 345, 912, 749

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 345 are 3 x 5 x 23

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 749 are 7 x 107

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

Given numbers are 238, 345, 912, 749

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

Apply this formula for all numbers.

Step1:

LCM(238, 345) = 82110

GCD(238, 345) = ( 238 x 345 ) / 82110

= 238 / 345

= 238

Step2:

LCM(1, 912) = 912

GCD(1, 912) = ( 1 x 912 ) / 912

= 1 / 912

= 1

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 238, 345, 912, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 839, 836, 998
• GCD of 899, 395, 916, 868
• GCD of 368, 899, 270, 367
• GCD of 211, 117, 588, 937
• GCD of 576, 108, 688, 591

Given numbers are 238, 345, 912, 749
The greatest common divisor of numbers 238, 345, 912, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 345, 912, 749 is 1.

1. What is the GCD of 238, 345, 912, 749?

GCD of given numbers 238, 345, 912, 749 is 1

2. How to calculate the greatest common divisor of 238, 345, 912, 749?

We can find the highest common divisor of 238, 345, 912, 749 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, 345, 912, 749 i.e 1.

3. How can I use the GCD of 238, 345, 912, 749Calculator?

Out the numbers 238, 345, 912, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.