GCD of 455, 475, 760, 708 Calculator

Given Input numbers are 455, 475, 760, 708

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

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 455, 475, 760, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 475, 760, 708 is 1.

Therefore, GCD of numbers 455, 475, 760, 708 is 1

Given Input Data is 455, 475, 760, 708

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

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 475 is 5 x 5 x 19

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(455, 475) = 43225

GCD(455, 475) = ( 455 x 475 ) / 43225

GCD(455, 475) = 216125 / 43225

GCD(455, 475) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 760

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

LCM(5, 760) = 760

GCD(5, 760) = ( 5 x 760 ) / 760

GCD(5, 760) = 3800 / 760

GCD(5, 760) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 708

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

LCM(5, 708) = 3540

GCD(5, 708) = ( 5 x 708 ) / 3540

GCD(5, 708) = 3540 / 3540

GCD(5, 708) = 1

GCD of 455, 475, 760, 708 is 1

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1. What is the GCD of 455, 475, 760, 708?

GCD of 455, 475, 760, 708 is 1

2. Where do I get the detailed procedure to find GCD of 455, 475, 760, 708?

You can find a detailed procedure to find GCD of 455, 475, 760, 708 on our page.

3. How to find GCD of 455, 475, 760, 708 on a calculator?

You can find the GCD of 455, 475, 760, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.