GCD of 726, 935, 87, 461 Calculator

Given Input numbers are 726, 935, 87, 461

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 726, 935, 87, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 935, 87, 461 is 1.

Therefore, GCD of numbers 726, 935, 87, 461 is 1

Given Input Data is 726, 935, 87, 461

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 87 is 3 x 29

Prime Factorization of 461 is 461

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(726, 935) = 61710

GCD(726, 935) = ( 726 x 935 ) / 61710

GCD(726, 935) = 678810 / 61710

GCD(726, 935) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 87

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

LCM(11, 87) = 957

GCD(11, 87) = ( 11 x 87 ) / 957

GCD(11, 87) = 957 / 957

GCD(11, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 726, 935, 87, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 278, 71, 806
• GCD of 350, 312, 49, 958
• GCD of 746, 282, 59, 457
• GCD of 485, 672, 24, 575
• GCD of 506, 381, 60, 602

1. What is the GCD of 726, 935, 87, 461?

GCD of 726, 935, 87, 461 is 1

2. Where do I get the detailed procedure to find GCD of 726, 935, 87, 461?

You can find a detailed procedure to find GCD of 726, 935, 87, 461 on our page.

3. How to find GCD of 726, 935, 87, 461 on a calculator?

You can find the GCD of 726, 935, 87, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.