GCD of 399, 108, 734, 461 Calculator

Given Input numbers are 399, 108, 734, 461

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

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

GCD of numbers is the greatest common divisor

So, the GCD (399, 108, 734, 461) = 1.

Given numbers are 399, 108, 734, 461

The list of prime factors of all numbers are

Prime factors of 399 are 3 x 7 x 19

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 734 are 2 x 367

Prime factors of 461 are 461

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

Given numbers are 399, 108, 734, 461

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

Apply this formula for all numbers.

Step1:

LCM(399, 108) = 14364

GCD(399, 108) = ( 399 x 108 ) / 14364

= 399 / 108

= 399

Step2:

LCM(3, 734) = 2202

GCD(3, 734) = ( 3 x 734 ) / 2202

= 3 / 734

= 3

Step3:

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

= 1 / 461

= 1

So, Greatest Common Divisor of 399, 108, 734, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 571, 265, 141
• GCD of 424, 648, 911, 485
• GCD of 760, 552, 850, 205
• GCD of 368, 849, 528, 978
• GCD of 925, 759, 372, 607

Given numbers are 399, 108, 734, 461
The greatest common divisor of numbers 399, 108, 734, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 108, 734, 461 is 1.

1. What is the GCD of 399, 108, 734, 461?

GCD of given numbers 399, 108, 734, 461 is 1

2. How to calculate the greatest common divisor of 399, 108, 734, 461?

We can find the highest common divisor of 399, 108, 734, 461 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 399, 108, 734, 461 i.e 1.

3. How can I use the GCD of 399, 108, 734, 461Calculator?

Out the numbers 399, 108, 734, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.