GCD of 845, 545, 825, 315 Calculator

Given Input numbers are 845, 545, 825, 315

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

Divisors of 845 :

The positive integer divisors of 845 that completely divides 845 are.

1, 5, 13, 65, 169, 845

Divisors of 545 :

The positive integer divisors of 545 that completely divides 545 are.

1, 5, 109, 545

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 (845, 545, 825, 315) = 5.

Given numbers are 845, 545, 825, 315

The list of prime factors of all numbers are

Prime factors of 845 are 5 x 13 x 13

Prime factors of 545 are 5 x 109

Prime factors of 825 are 3 x 5 x 5 x 11

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

The highest common occurrence is 5¹

Therefore, GCD of 845, 545, 825, 315 is 5.

Given numbers are 845, 545, 825, 315

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

Apply this formula for all numbers.

Step1:

LCM(845, 545) = 92105

GCD(845, 545) = ( 845 x 545 ) / 92105

= 845 / 545

= 845

Step2:

LCM(5, 825) = 825

GCD(5, 825) = ( 5 x 825 ) / 825

= 5 / 825

= 5

Step3:

LCM(5, 315) = 315

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

= 5 / 315

= 5

So, Greatest Common Divisor of 845, 545, 825, 315 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 967, 821, 676
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Given numbers are 845, 545, 825, 315
The greatest common divisor of numbers 845, 545, 825, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 845, 545, 825, 315 is 5.

1. What is the GCD of 845, 545, 825, 315?

GCD of given numbers 845, 545, 825, 315 is 5

2. How to calculate the greatest common divisor of 845, 545, 825, 315?

We can find the highest common divisor of 845, 545, 825, 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 845, 545, 825, 315 i.e 5.

3. How can I use the GCD of 845, 545, 825, 315Calculator?

Out the numbers 845, 545, 825, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.