GCD of 53, 685, 721, 765 Calculator

Given Input numbers are 53, 685, 721, 765

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 53, 685, 721, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 685, 721, 765 is 1.

Therefore, GCD of numbers 53, 685, 721, 765 is 1

Given Input Data is 53, 685, 721, 765

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

Prime Factorization of 53 is 53

Prime Factorization of 685 is 5 x 137

Prime Factorization of 721 is 7 x 103

Prime Factorization of 765 is 3 x 3 x 5 x 17

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(53, 685) = 36305

GCD(53, 685) = ( 53 x 685 ) / 36305

GCD(53, 685) = 36305 / 36305

GCD(53, 685) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 53, 685, 721, 765 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 100, 695, 201
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• GCD of 23, 519, 535, 422
• GCD of 89, 367, 468, 476

1. What is the GCD of 53, 685, 721, 765?

GCD of 53, 685, 721, 765 is 1

2. Where do I get the detailed procedure to find GCD of 53, 685, 721, 765?

You can find a detailed procedure to find GCD of 53, 685, 721, 765 on our page.

3. How to find GCD of 53, 685, 721, 765 on a calculator?

You can find the GCD of 53, 685, 721, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.