GCD of 838, 459, 748, 313 Calculator

Given Input numbers are 838, 459, 748, 313

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (838, 459, 748, 313) = 1.

Given numbers are 838, 459, 748, 313

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 313 are 313

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

Given numbers are 838, 459, 748, 313

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

Apply this formula for all numbers.

Step1:

LCM(838, 459) = 384642

GCD(838, 459) = ( 838 x 459 ) / 384642

= 838 / 459

= 838

Step2:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

Step3:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1

So, Greatest Common Divisor of 838, 459, 748, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 431, 108, 712
• GCD of 626, 970, 666, 711
• GCD of 468, 548, 624, 454
• GCD of 933, 592, 773, 995
• GCD of 112, 272, 481, 555

Given numbers are 838, 459, 748, 313
The greatest common divisor of numbers 838, 459, 748, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 459, 748, 313 is 1.

1. What is the GCD of 838, 459, 748, 313?

GCD of given numbers 838, 459, 748, 313 is 1

2. How to calculate the greatest common divisor of 838, 459, 748, 313?

We can find the highest common divisor of 838, 459, 748, 313 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 838, 459, 748, 313 i.e 1.

3. How can I use the GCD of 838, 459, 748, 313Calculator?

Out the numbers 838, 459, 748, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.