GCD of 760, 720, 31, 824 Calculator

Given Input numbers are 760, 720, 31, 824

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

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 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 760, 720, 31, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 720, 31, 824 is 1.

Therefore, GCD of numbers 760, 720, 31, 824 is 1

Given Input Data is 760, 720, 31, 824

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

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 31 is 31

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(760, 720) = 13680

GCD(760, 720) = ( 760 x 720 ) / 13680

GCD(760, 720) = 547200 / 13680

GCD(760, 720) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 31

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

LCM(40, 31) = 1240

GCD(40, 31) = ( 40 x 31 ) / 1240

GCD(40, 31) = 1240 / 1240

GCD(40, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 760, 720, 31, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 771, 49, 567
• GCD of 954, 127, 34, 907
• GCD of 752, 214, 22, 601
• GCD of 890, 168, 91, 631
• GCD of 478, 227, 99, 198

1. What is the GCD of 760, 720, 31, 824?

GCD of 760, 720, 31, 824 is 1

2. Where do I get the detailed procedure to find GCD of 760, 720, 31, 824?

You can find a detailed procedure to find GCD of 760, 720, 31, 824 on our page.

3. How to find GCD of 760, 720, 31, 824 on a calculator?

You can find the GCD of 760, 720, 31, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.