GCD of 965, 269, 600, 998 Calculator

Given Input numbers are 965, 269, 600, 998

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 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 965, 269, 600, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 269, 600, 998 is 1.

Therefore, GCD of numbers 965, 269, 600, 998 is 1

Given Input Data is 965, 269, 600, 998

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

Prime Factorization of 965 is 5 x 193

Prime Factorization of 269 is 269

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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(965, 269) = 259585

GCD(965, 269) = ( 965 x 269 ) / 259585

GCD(965, 269) = 259585 / 259585

GCD(965, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 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 965, 269, 600, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 499, 630, 582
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• GCD of 989, 632, 195, 523
• GCD of 701, 361, 919, 652

1. What is the GCD of 965, 269, 600, 998?

GCD of 965, 269, 600, 998 is 1

2. Where do I get the detailed procedure to find GCD of 965, 269, 600, 998?

You can find a detailed procedure to find GCD of 965, 269, 600, 998 on our page.

3. How to find GCD of 965, 269, 600, 998 on a calculator?

You can find the GCD of 965, 269, 600, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.