GCD of 381, 559, 590, 749 Calculator

Given Input numbers are 381, 559, 590, 749

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

Divisors of 381 :

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

1, 3, 127, 381

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

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 (381, 559, 590, 749) = 1.

Given numbers are 381, 559, 590, 749

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 559 are 13 x 43

Prime factors of 590 are 2 x 5 x 59

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 381, 559, 590, 749

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

Apply this formula for all numbers.

Step1:

LCM(381, 559) = 212979

GCD(381, 559) = ( 381 x 559 ) / 212979

= 381 / 559

= 381

Step2:

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

= 1 / 590

= 1

Step3:

LCM(1, 749) = 749

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

= 1 / 749

= 1

So, Greatest Common Divisor of 381, 559, 590, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 200, 286, 711
• GCD of 771, 846, 307, 326
• GCD of 698, 520, 713, 811
• GCD of 287, 254, 641, 570
• GCD of 514, 466, 836, 758

Given numbers are 381, 559, 590, 749
The greatest common divisor of numbers 381, 559, 590, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 559, 590, 749 is 1.

1. What is the GCD of 381, 559, 590, 749?

GCD of given numbers 381, 559, 590, 749 is 1

2. How to calculate the greatest common divisor of 381, 559, 590, 749?

We can find the highest common divisor of 381, 559, 590, 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 381, 559, 590, 749 i.e 1.

3. How can I use the GCD of 381, 559, 590, 749Calculator?

Out the numbers 381, 559, 590, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.