GCD of 382, 749, 429, 259 Calculator

Given Input numbers are 382, 749, 429, 259

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 749 :

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

1, 7, 107, 749

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 259 :

The positive integer divisors of 259 that completely divides 259 are.

1, 7, 37, 259

GCD of numbers is the greatest common divisor

So, the GCD (382, 749, 429, 259) = 1.

Given numbers are 382, 749, 429, 259

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 749 are 7 x 107

Prime factors of 429 are 3 x 11 x 13

Prime factors of 259 are 7 x 37

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

Given numbers are 382, 749, 429, 259

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

Apply this formula for all numbers.

Step1:

LCM(382, 749) = 286118

GCD(382, 749) = ( 382 x 749 ) / 286118

= 382 / 749

= 382

Step2:

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

= 1 / 429

= 1

Step3:

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

= 1 / 259

= 1

So, Greatest Common Divisor of 382, 749, 429, 259 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 864, 784, 952
• GCD of 637, 885, 151, 392
• GCD of 100, 118, 169, 564
• GCD of 211, 318, 425, 416
• GCD of 157, 363, 834, 287

Given numbers are 382, 749, 429, 259
The greatest common divisor of numbers 382, 749, 429, 259 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 749, 429, 259 is 1.

1. What is the GCD of 382, 749, 429, 259?

GCD of given numbers 382, 749, 429, 259 is 1

2. How to calculate the greatest common divisor of 382, 749, 429, 259?

We can find the highest common divisor of 382, 749, 429, 259 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 382, 749, 429, 259 i.e 1.

3. How can I use the GCD of 382, 749, 429, 259Calculator?

Out the numbers 382, 749, 429, 259 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.