GCD of 805, 320, 675, 350 Calculator

Given Input numbers are 805, 320, 675, 350

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

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

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 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (805, 320, 675, 350) = 5.

Given numbers are 805, 320, 675, 350

The list of prime factors of all numbers are

Prime factors of 805 are 5 x 7 x 23

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

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 805, 320, 675, 350 is 5.

Given numbers are 805, 320, 675, 350

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

Apply this formula for all numbers.

Step1:

LCM(805, 320) = 51520

GCD(805, 320) = ( 805 x 320 ) / 51520

= 805 / 320

= 805

Step2:

LCM(5, 675) = 675

GCD(5, 675) = ( 5 x 675 ) / 675

= 5 / 675

= 5

Step3:

LCM(5, 350) = 350

GCD(5, 350) = ( 5 x 350 ) / 350

= 5 / 350

= 5

So, Greatest Common Divisor of 805, 320, 675, 350 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 424, 338, 904
• GCD of 620, 223, 239, 586
• GCD of 675, 860, 517, 630
• GCD of 389, 228, 829, 690
• GCD of 145, 963, 122, 694

Given numbers are 805, 320, 675, 350
The greatest common divisor of numbers 805, 320, 675, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 805, 320, 675, 350 is 5.

1. What is the GCD of 805, 320, 675, 350?

GCD of given numbers 805, 320, 675, 350 is 5

2. How to calculate the greatest common divisor of 805, 320, 675, 350?

We can find the highest common divisor of 805, 320, 675, 350 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 805, 320, 675, 350 i.e 5.

3. How can I use the GCD of 805, 320, 675, 350Calculator?

Out the numbers 805, 320, 675, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.