GCD of 965, 314, 32, 350 Calculator

Given Input numbers are 965, 314, 32, 350

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

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

Greatest Common Divisior

We found the divisors of 965, 314, 32, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 314, 32, 350 is 1.

Therefore, GCD of numbers 965, 314, 32, 350 is 1

Given Input Data is 965, 314, 32, 350

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 965 is 5 x 193

Prime Factorization of 314 is 2 x 157

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 350 is 2 x 5 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(965, 314) = 303010

GCD(965, 314) = ( 965 x 314 ) / 303010

GCD(965, 314) = 303010 / 303010

GCD(965, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 965, 314, 32, 350 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 111, 38, 458
• GCD of 318, 680, 95, 789
• GCD of 530, 521, 29, 148
• GCD of 166, 471, 85, 974
• GCD of 670, 811, 14, 352

1. What is the GCD of 965, 314, 32, 350?

GCD of 965, 314, 32, 350 is 1

2. Where do I get the detailed procedure to find GCD of 965, 314, 32, 350?

You can find a detailed procedure to find GCD of 965, 314, 32, 350 on our page.

3. How to find GCD of 965, 314, 32, 350 on a calculator?

You can find the GCD of 965, 314, 32, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.