GCD of 105, 810, 50, 315 Calculator

Given Input numbers are 105, 810, 50, 315

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

Divisors of 105 :

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

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

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 50 :

The positive integer divisors of 50 that completely divides 50 are.

1, 2, 5, 10, 25, 50

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (105, 810, 50, 315) = 5.

Given numbers are 105, 810, 50, 315

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 50 are 2 x 5 x 5

Prime factors of 315 are 3 x 3 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 105, 810, 50, 315 is 5.

Given numbers are 105, 810, 50, 315

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

Apply this formula for all numbers.

Step1:

LCM(105, 810) = 5670

GCD(105, 810) = ( 105 x 810 ) / 5670

= 105 / 810

= 105

Step2:

LCM(15, 50) = 150

GCD(15, 50) = ( 15 x 50 ) / 150

= 15 / 50

= 15

Step3:

LCM(5, 315) = 315

GCD(5, 315) = ( 5 x 315 ) / 315

= 5 / 315

= 5

So, Greatest Common Divisor of 105, 810, 50, 315 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 142, 66, 400
• GCD of 936, 480, 78, 213
• GCD of 685, 219, 51, 272
• GCD of 969, 866, 34, 279
• GCD of 294, 193, 96, 974

Given numbers are 105, 810, 50, 315
The greatest common divisor of numbers 105, 810, 50, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 810, 50, 315 is 5.

1. What is the GCD of 105, 810, 50, 315?

GCD of given numbers 105, 810, 50, 315 is 5

2. How to calculate the greatest common divisor of 105, 810, 50, 315?

We can find the highest common divisor of 105, 810, 50, 315 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 105, 810, 50, 315 i.e 5.

3. How can I use the GCD of 105, 810, 50, 315Calculator?

Out the numbers 105, 810, 50, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.