GCD of 724, 972, 784, 245 Calculator

Given Input numbers are 724, 972, 784, 245

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 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Greatest Common Divisior

We found the divisors of 724, 972, 784, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 972, 784, 245 is 1.

Therefore, GCD of numbers 724, 972, 784, 245 is 1

Given Input Data is 724, 972, 784, 245

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 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 245 is 5 x 7 x 7

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, 972) = 175932

GCD(724, 972) = ( 724 x 972 ) / 175932

GCD(724, 972) = 703728 / 175932

GCD(724, 972) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 784

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

LCM(4, 784) = 784

GCD(4, 784) = ( 4 x 784 ) / 784

GCD(4, 784) = 3136 / 784

GCD(4, 784) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 245

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

LCM(4, 245) = 980

GCD(4, 245) = ( 4 x 245 ) / 980

GCD(4, 245) = 980 / 980

GCD(4, 245) = 1

GCD of 724, 972, 784, 245 is 1

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1. What is the GCD of 724, 972, 784, 245?

GCD of 724, 972, 784, 245 is 1

2. Where do I get the detailed procedure to find GCD of 724, 972, 784, 245?

You can find a detailed procedure to find GCD of 724, 972, 784, 245 on our page.

3. How to find GCD of 724, 972, 784, 245 on a calculator?

You can find the GCD of 724, 972, 784, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.