GCD of 704, 119, 225, 763 Calculator

Given Input numbers are 704, 119, 225, 763

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 704, 119, 225, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 119, 225, 763 is 1.

Therefore, GCD of numbers 704, 119, 225, 763 is 1

Given Input Data is 704, 119, 225, 763

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 119 is 7 x 17

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 763 is 7 x 109

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(704, 119) = 83776

GCD(704, 119) = ( 704 x 119 ) / 83776

GCD(704, 119) = 83776 / 83776

GCD(704, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 704, 119, 225, 763 is 1

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1. What is the GCD of 704, 119, 225, 763?

GCD of 704, 119, 225, 763 is 1

2. Where do I get the detailed procedure to find GCD of 704, 119, 225, 763?

You can find a detailed procedure to find GCD of 704, 119, 225, 763 on our page.

3. How to find GCD of 704, 119, 225, 763 on a calculator?

You can find the GCD of 704, 119, 225, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.