GCD of 170, 350, 448, 814 Calculator

Given Input numbers are 170, 350, 448, 814

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

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

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (170, 350, 448, 814) = 2.

Given numbers are 170, 350, 448, 814

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

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

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 170, 350, 448, 814 is 2.

Given numbers are 170, 350, 448, 814

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

Apply this formula for all numbers.

Step1:

LCM(170, 350) = 5950

GCD(170, 350) = ( 170 x 350 ) / 5950

= 170 / 350

= 170

Step2:

LCM(10, 448) = 2240

GCD(10, 448) = ( 10 x 448 ) / 2240

= 10 / 448

= 10

Step3:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

So, Greatest Common Divisor of 170, 350, 448, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 357, 365, 649, 400
• GCD of 139, 706, 582, 683
• GCD of 799, 215, 737, 571
• GCD of 316, 476, 922, 735
• GCD of 953, 876, 235, 323

Given numbers are 170, 350, 448, 814
The greatest common divisor of numbers 170, 350, 448, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 350, 448, 814 is 2.

1. What is the GCD of 170, 350, 448, 814?

GCD of given numbers 170, 350, 448, 814 is 2

2. How to calculate the greatest common divisor of 170, 350, 448, 814?

We can find the highest common divisor of 170, 350, 448, 814 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 170, 350, 448, 814 i.e 2.

3. How can I use the GCD of 170, 350, 448, 814Calculator?

Out the numbers 170, 350, 448, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.