GCD of 724, 217, 331, 946 Calculator

Given Input numbers are 724, 217, 331, 946

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 724, 217, 331, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 217, 331, 946 is 1.

Therefore, GCD of numbers 724, 217, 331, 946 is 1

Given Input Data is 724, 217, 331, 946

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 217 is 7 x 31

Prime Factorization of 331 is 331

Prime Factorization of 946 is 2 x 11 x 43

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(724, 217) = 157108

GCD(724, 217) = ( 724 x 217 ) / 157108

GCD(724, 217) = 157108 / 157108

GCD(724, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 724, 217, 331, 946 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 786, 265, 866
• GCD of 441, 552, 266, 612
• GCD of 459, 652, 417, 229
• GCD of 597, 896, 974, 765
• GCD of 942, 976, 524, 537

1. What is the GCD of 724, 217, 331, 946?

GCD of 724, 217, 331, 946 is 1

2. Where do I get the detailed procedure to find GCD of 724, 217, 331, 946?

You can find a detailed procedure to find GCD of 724, 217, 331, 946 on our page.

3. How to find GCD of 724, 217, 331, 946 on a calculator?

You can find the GCD of 724, 217, 331, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.