GCD of 69, 680, 720, 252 Calculator

Given Input numbers are 69, 680, 720, 252

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

Divisors of 69

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

1, 3, 23, 69

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 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 69, 680, 720, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 680, 720, 252 is 1.

Therefore, GCD of numbers 69, 680, 720, 252 is 1

Given Input Data is 69, 680, 720, 252

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

Prime Factorization of 69 is 3 x 23

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 252 is 2 x 2 x 3 x 3 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(69, 680) = 46920

GCD(69, 680) = ( 69 x 680 ) / 46920

GCD(69, 680) = 46920 / 46920

GCD(69, 680) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 69, 680, 720, 252 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 418, 231, 295
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• GCD of 93, 425, 972, 742
• GCD of 62, 589, 245, 338
• GCD of 60, 464, 190, 520

1. What is the GCD of 69, 680, 720, 252?

GCD of 69, 680, 720, 252 is 1

2. Where do I get the detailed procedure to find GCD of 69, 680, 720, 252?

You can find a detailed procedure to find GCD of 69, 680, 720, 252 on our page.

3. How to find GCD of 69, 680, 720, 252 on a calculator?

You can find the GCD of 69, 680, 720, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.