GCD of 699, 735, 69, 505 Calculator

Given Input numbers are 699, 735, 69, 505

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 69

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

1, 3, 23, 69

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 699, 735, 69, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 735, 69, 505 is 1.

Therefore, GCD of numbers 699, 735, 69, 505 is 1

Given Input Data is 699, 735, 69, 505

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 69 is 3 x 23

Prime Factorization of 505 is 5 x 101

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(699, 735) = 171255

GCD(699, 735) = ( 699 x 735 ) / 171255

GCD(699, 735) = 513765 / 171255

GCD(699, 735) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 69

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

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

GCD(3, 69) = 207 / 69

GCD(3, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 505

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

LCM(3, 505) = 1515

GCD(3, 505) = ( 3 x 505 ) / 1515

GCD(3, 505) = 1515 / 1515

GCD(3, 505) = 1

GCD of 699, 735, 69, 505 is 1

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• GCD of 192, 720, 91, 142
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1. What is the GCD of 699, 735, 69, 505?

GCD of 699, 735, 69, 505 is 1

2. Where do I get the detailed procedure to find GCD of 699, 735, 69, 505?

You can find a detailed procedure to find GCD of 699, 735, 69, 505 on our page.

3. How to find GCD of 699, 735, 69, 505 on a calculator?

You can find the GCD of 699, 735, 69, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.