GCD of 665, 265, 989, 974 Calculator

Given Input numbers are 665, 265, 989, 974

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

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 665, 265, 989, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 665, 265, 989, 974 is 1.

Therefore, GCD of numbers 665, 265, 989, 974 is 1

Given Input Data is 665, 265, 989, 974

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

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 265 is 5 x 53

Prime Factorization of 989 is 23 x 43

Prime Factorization of 974 is 2 x 487

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(665, 265) = 35245

GCD(665, 265) = ( 665 x 265 ) / 35245

GCD(665, 265) = 176225 / 35245

GCD(665, 265) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 989

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

LCM(5, 989) = 4945

GCD(5, 989) = ( 5 x 989 ) / 4945

GCD(5, 989) = 4945 / 4945

GCD(5, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 665, 265, 989, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 238, 765, 556
• GCD of 705, 185, 328, 556
• GCD of 616, 997, 564, 810
• GCD of 451, 798, 551, 213
• GCD of 693, 277, 999, 219

1. What is the GCD of 665, 265, 989, 974?

GCD of 665, 265, 989, 974 is 1

2. Where do I get the detailed procedure to find GCD of 665, 265, 989, 974?

You can find a detailed procedure to find GCD of 665, 265, 989, 974 on our page.

3. How to find GCD of 665, 265, 989, 974 on a calculator?

You can find the GCD of 665, 265, 989, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.