GCD of 667, 381, 364, 749 Calculator

Given Input numbers are 667, 381, 364, 749

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

Divisors of 667 :

The positive integer divisors of 667 that completely divides 667 are.

1, 23, 29, 667

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 (667, 381, 364, 749) = 1.

Given numbers are 667, 381, 364, 749

The list of prime factors of all numbers are

Prime factors of 667 are 23 x 29

Prime factors of 381 are 3 x 127

Prime factors of 364 are 2 x 2 x 7 x 13

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 667, 381, 364, 749

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

Apply this formula for all numbers.

Step1:

LCM(667, 381) = 254127

GCD(667, 381) = ( 667 x 381 ) / 254127

= 667 / 381

= 667

Step2:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

Step3:

LCM(1, 749) = 749

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

= 1 / 749

= 1

So, Greatest Common Divisor of 667, 381, 364, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 376, 272, 419
• GCD of 506, 785, 616, 766
• GCD of 498, 568, 916, 405
• GCD of 112, 293, 835, 838
• GCD of 771, 804, 864, 253

Given numbers are 667, 381, 364, 749
The greatest common divisor of numbers 667, 381, 364, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 667, 381, 364, 749 is 1.

1. What is the GCD of 667, 381, 364, 749?

GCD of given numbers 667, 381, 364, 749 is 1

2. How to calculate the greatest common divisor of 667, 381, 364, 749?

We can find the highest common divisor of 667, 381, 364, 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 667, 381, 364, 749 i.e 1.

3. How can I use the GCD of 667, 381, 364, 749Calculator?

Out the numbers 667, 381, 364, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.