GCD of 480, 760, 790, 697 Calculator

Given Input numbers are 480, 760, 790, 697

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 480, 760, 790, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 760, 790, 697 is 1.

Therefore, GCD of numbers 480, 760, 790, 697 is 1

Given Input Data is 480, 760, 790, 697

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 697 is 17 x 41

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(480, 760) = 9120

GCD(480, 760) = ( 480 x 760 ) / 9120

GCD(480, 760) = 364800 / 9120

GCD(480, 760) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 790

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

LCM(40, 790) = 3160

GCD(40, 790) = ( 40 x 790 ) / 3160

GCD(40, 790) = 31600 / 3160

GCD(40, 790) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 697

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

LCM(10, 697) = 6970

GCD(10, 697) = ( 10 x 697 ) / 6970

GCD(10, 697) = 6970 / 6970

GCD(10, 697) = 1

GCD of 480, 760, 790, 697 is 1

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1. What is the GCD of 480, 760, 790, 697?

GCD of 480, 760, 790, 697 is 1

2. Where do I get the detailed procedure to find GCD of 480, 760, 790, 697?

You can find a detailed procedure to find GCD of 480, 760, 790, 697 on our page.

3. How to find GCD of 480, 760, 790, 697 on a calculator?

You can find the GCD of 480, 760, 790, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.