GCD of 731, 390, 338, 101 Calculator

Given Input numbers are 731, 390, 338, 101

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 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

GCD of numbers is the greatest common divisor

So, the GCD (731, 390, 338, 101) = 1.

Given numbers are 731, 390, 338, 101

The list of prime factors of all numbers are

Prime factors of 731 are 17 x 43

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 338 are 2 x 13 x 13

Prime factors of 101 are 101

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

Given numbers are 731, 390, 338, 101

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

Apply this formula for all numbers.

Step1:

LCM(731, 390) = 285090

GCD(731, 390) = ( 731 x 390 ) / 285090

= 731 / 390

= 731

Step2:

LCM(1, 338) = 338

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

= 1 / 338

= 1

Step3:

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

= 1 / 101

= 1

So, Greatest Common Divisor of 731, 390, 338, 101 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 688, 187, 884
• GCD of 848, 551, 335, 860
• GCD of 970, 348, 542, 355
• GCD of 648, 765, 534, 172
• GCD of 170, 262, 106, 490

Given numbers are 731, 390, 338, 101
The greatest common divisor of numbers 731, 390, 338, 101 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 731, 390, 338, 101 is 1.

1. What is the GCD of 731, 390, 338, 101?

GCD of given numbers 731, 390, 338, 101 is 1

2. How to calculate the greatest common divisor of 731, 390, 338, 101?

We can find the highest common divisor of 731, 390, 338, 101 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, 390, 338, 101 i.e 1.

3. How can I use the GCD of 731, 390, 338, 101Calculator?

Out the numbers 731, 390, 338, 101 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.