GCD of 320, 280, 105, 495 Calculator

Given Input numbers are 320, 280, 105, 495

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 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

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

GCD of numbers is the greatest common divisor

So, the GCD (320, 280, 105, 495) = 5.

Given numbers are 320, 280, 105, 495

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 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 105 are 3 x 5 x 7

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

The highest common occurrence is 5¹

Therefore, GCD of 320, 280, 105, 495 is 5.

Given numbers are 320, 280, 105, 495

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

Apply this formula for all numbers.

Step1:

LCM(320, 280) = 2240

GCD(320, 280) = ( 320 x 280 ) / 2240

= 320 / 280

= 320

Step2:

LCM(40, 105) = 840

GCD(40, 105) = ( 40 x 105 ) / 840

= 40 / 105

= 40

Step3:

LCM(5, 495) = 495

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

= 5 / 495

= 5

So, Greatest Common Divisor of 320, 280, 105, 495 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 902, 163, 972
• GCD of 268, 893, 618, 440
• GCD of 244, 165, 800, 497
• GCD of 115, 363, 345, 172
• GCD of 305, 128, 558, 221

Given numbers are 320, 280, 105, 495
The greatest common divisor of numbers 320, 280, 105, 495 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 280, 105, 495 is 5.

1. What is the GCD of 320, 280, 105, 495?

GCD of given numbers 320, 280, 105, 495 is 5

2. How to calculate the greatest common divisor of 320, 280, 105, 495?

We can find the highest common divisor of 320, 280, 105, 495 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, 280, 105, 495 i.e 5.

3. How can I use the GCD of 320, 280, 105, 495Calculator?

Out the numbers 320, 280, 105, 495 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.