GCD of 761, 727, 45, 513 Calculator

Given Input numbers are 761, 727, 45, 513

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

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 761, 727, 45, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 761, 727, 45, 513 is 1.

Therefore, GCD of numbers 761, 727, 45, 513 is 1

Given Input Data is 761, 727, 45, 513

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

Prime Factorization of 761 is 761

Prime Factorization of 727 is 727

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(761, 727) = 553247

GCD(761, 727) = ( 761 x 727 ) / 553247

GCD(761, 727) = 553247 / 553247

GCD(761, 727) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 761, 727, 45, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 209, 31, 653
• GCD of 531, 594, 32, 110
• GCD of 284, 977, 86, 500
• GCD of 852, 640, 84, 235
• GCD of 304, 292, 53, 773

1. What is the GCD of 761, 727, 45, 513?

GCD of 761, 727, 45, 513 is 1

2. Where do I get the detailed procedure to find GCD of 761, 727, 45, 513?

You can find a detailed procedure to find GCD of 761, 727, 45, 513 on our page.

3. How to find GCD of 761, 727, 45, 513 on a calculator?

You can find the GCD of 761, 727, 45, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.