GCD of 386, 916, 509, 441 Calculator

Given Input numbers are 386, 916, 509, 441

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

Divisors of 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

GCD of numbers is the greatest common divisor

So, the GCD (386, 916, 509, 441) = 1.

Given numbers are 386, 916, 509, 441

The list of prime factors of all numbers are

Prime factors of 386 are 2 x 193

Prime factors of 916 are 2 x 2 x 229

Prime factors of 509 are 509

Prime factors of 441 are 3 x 3 x 7 x 7

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

Given numbers are 386, 916, 509, 441

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

Apply this formula for all numbers.

Step1:

LCM(386, 916) = 176788

GCD(386, 916) = ( 386 x 916 ) / 176788

= 386 / 916

= 386

Step2:

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

= 2 / 509

= 2

Step3:

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

= 1 / 441

= 1

So, Greatest Common Divisor of 386, 916, 509, 441 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 378, 513, 741, 654
• GCD of 755, 686, 373, 475
• GCD of 720, 824, 804, 767
• GCD of 139, 273, 931, 577
• GCD of 742, 661, 836, 898

Given numbers are 386, 916, 509, 441
The greatest common divisor of numbers 386, 916, 509, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 386, 916, 509, 441 is 1.

1. What is the GCD of 386, 916, 509, 441?

GCD of given numbers 386, 916, 509, 441 is 1

2. How to calculate the greatest common divisor of 386, 916, 509, 441?

We can find the highest common divisor of 386, 916, 509, 441 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 386, 916, 509, 441 i.e 1.

3. How can I use the GCD of 386, 916, 509, 441Calculator?

Out the numbers 386, 916, 509, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.