GCD of 320, 245, 495, 380 Calculator

Given Input numbers are 320, 245, 495, 380

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (320, 245, 495, 380) = 5.

Given numbers are 320, 245, 495, 380

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 245 are 5 x 7 x 7

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 5¹

Therefore, GCD of 320, 245, 495, 380 is 5.

Given numbers are 320, 245, 495, 380

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

Apply this formula for all numbers.

Step1:

LCM(320, 245) = 15680

GCD(320, 245) = ( 320 x 245 ) / 15680

= 320 / 245

= 320

Step2:

LCM(5, 495) = 495

GCD(5, 495) = ( 5 x 495 ) / 495

= 5 / 495

= 5

Step3:

LCM(5, 380) = 380

GCD(5, 380) = ( 5 x 380 ) / 380

= 5 / 380

= 5

So, Greatest Common Divisor of 320, 245, 495, 380 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 281, 754, 752
• GCD of 360, 936, 750, 724
• GCD of 445, 130, 369, 734
• GCD of 550, 708, 682, 373
• GCD of 186, 121, 316, 249

Given numbers are 320, 245, 495, 380
The greatest common divisor of numbers 320, 245, 495, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 245, 495, 380 is 5.

1. What is the GCD of 320, 245, 495, 380?

GCD of given numbers 320, 245, 495, 380 is 5

2. How to calculate the greatest common divisor of 320, 245, 495, 380?

We can find the highest common divisor of 320, 245, 495, 380 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 320, 245, 495, 380 i.e 5.

3. How can I use the GCD of 320, 245, 495, 380Calculator?

Out the numbers 320, 245, 495, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.