GCD of 146, 680, 69, 998 Calculator

Given Input numbers are 146, 680, 69, 998

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 146, 680, 69, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 680, 69, 998 is 1.

Therefore, GCD of numbers 146, 680, 69, 998 is 1

Given Input Data is 146, 680, 69, 998

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 69 is 3 x 23

Prime Factorization of 998 is 2 x 499

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(146, 680) = 49640

GCD(146, 680) = ( 146 x 680 ) / 49640

GCD(146, 680) = 99280 / 49640

GCD(146, 680) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 146, 680, 69, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 455, 23, 751
• GCD of 469, 821, 79, 755
• GCD of 615, 176, 89, 983
• GCD of 163, 768, 21, 497
• GCD of 628, 315, 24, 672

1. What is the GCD of 146, 680, 69, 998?

GCD of 146, 680, 69, 998 is 1

2. Where do I get the detailed procedure to find GCD of 146, 680, 69, 998?

You can find a detailed procedure to find GCD of 146, 680, 69, 998 on our page.

3. How to find GCD of 146, 680, 69, 998 on a calculator?

You can find the GCD of 146, 680, 69, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.