GCD of 724, 678, 760, 947 Calculator

Given Input numbers are 724, 678, 760, 947

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 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Greatest Common Divisior

We found the divisors of 724, 678, 760, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 678, 760, 947 is 1.

Therefore, GCD of numbers 724, 678, 760, 947 is 1

Given Input Data is 724, 678, 760, 947

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 678 is 2 x 3 x 113

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 947 is 947

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, 678) = 245436

GCD(724, 678) = ( 724 x 678 ) / 245436

GCD(724, 678) = 490872 / 245436

GCD(724, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 760

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

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

GCD(2, 760) = 1520 / 760

GCD(2, 760) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 947

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

LCM(2, 947) = 1894

GCD(2, 947) = ( 2 x 947 ) / 1894

GCD(2, 947) = 1894 / 1894

GCD(2, 947) = 1

GCD of 724, 678, 760, 947 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 559, 803, 281
• GCD of 105, 883, 989, 368
• GCD of 938, 701, 438, 493
• GCD of 105, 438, 664, 109
• GCD of 572, 232, 346, 899

1. What is the GCD of 724, 678, 760, 947?

GCD of 724, 678, 760, 947 is 1

2. Where do I get the detailed procedure to find GCD of 724, 678, 760, 947?

You can find a detailed procedure to find GCD of 724, 678, 760, 947 on our page.

3. How to find GCD of 724, 678, 760, 947 on a calculator?

You can find the GCD of 724, 678, 760, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.