GCD of 690, 960, 167 Calculator

Given Input numbers are 690, 960, 167

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Greatest Common Divisior

We found the divisors of 690, 960, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 960, 167 is 1.

Therefore, GCD of numbers 690, 960, 167 is 1

Given Input Data is 690, 960, 167

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 167 is 167

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(690, 960) = 22080

GCD(690, 960) = ( 690 x 960 ) / 22080

GCD(690, 960) = 662400 / 22080

GCD(690, 960) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 167

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

LCM(30, 167) = 5010

GCD(30, 167) = ( 30 x 167 ) / 5010

GCD(30, 167) = 5010 / 5010

GCD(30, 167) = 1

GCD of 690, 960, 167 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 867, 990
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1. What is the GCD of 690, 960, 167?

GCD of 690, 960, 167 is 1

2. Where do I get the detailed procedure to find GCD of 690, 960, 167?

You can find a detailed procedure to find GCD of 690, 960, 167 on our page.

3. How to find GCD of 690, 960, 167 on a calculator?

You can find the GCD of 690, 960, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.