GCD of 731, 975, 382, 338 Calculator

Given Input numbers are 731, 975, 382, 338

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

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 382 :

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

1, 2, 191, 382

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (731, 975, 382, 338) = 1.

Given numbers are 731, 975, 382, 338

The list of prime factors of all numbers are

Prime factors of 731 are 17 x 43

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 382 are 2 x 191

Prime factors of 338 are 2 x 13 x 13

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

Given numbers are 731, 975, 382, 338

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

Apply this formula for all numbers.

Step1:

LCM(731, 975) = 712725

GCD(731, 975) = ( 731 x 975 ) / 712725

= 731 / 975

= 731

Step2:

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

= 1 / 382

= 1

Step3:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

So, Greatest Common Divisor of 731, 975, 382, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 340, 123, 307
• GCD of 901, 326, 167, 961
• GCD of 346, 113, 871, 122
• GCD of 704, 963, 785, 293
• GCD of 780, 116, 598, 272

Given numbers are 731, 975, 382, 338
The greatest common divisor of numbers 731, 975, 382, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 731, 975, 382, 338 is 1.

1. What is the GCD of 731, 975, 382, 338?

GCD of given numbers 731, 975, 382, 338 is 1

2. How to calculate the greatest common divisor of 731, 975, 382, 338?

We can find the highest common divisor of 731, 975, 382, 338 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 731, 975, 382, 338 i.e 1.

3. How can I use the GCD of 731, 975, 382, 338Calculator?

Out the numbers 731, 975, 382, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.