GCD of 700, 473, 287, 674 Calculator

Given Input numbers are 700, 473, 287, 674

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 700, 473, 287, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 473, 287, 674 is 1.

Therefore, GCD of numbers 700, 473, 287, 674 is 1

Given Input Data is 700, 473, 287, 674

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 473 is 11 x 43

Prime Factorization of 287 is 7 x 41

Prime Factorization of 674 is 2 x 337

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(700, 473) = 331100

GCD(700, 473) = ( 700 x 473 ) / 331100

GCD(700, 473) = 331100 / 331100

GCD(700, 473) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 287

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

LCM(1, 287) = 287

GCD(1, 287) = ( 1 x 287 ) / 287

GCD(1, 287) = 287 / 287

GCD(1, 287) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 700, 473, 287, 674 is 1

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1. What is the GCD of 700, 473, 287, 674?

GCD of 700, 473, 287, 674 is 1

2. Where do I get the detailed procedure to find GCD of 700, 473, 287, 674?

You can find a detailed procedure to find GCD of 700, 473, 287, 674 on our page.

3. How to find GCD of 700, 473, 287, 674 on a calculator?

You can find the GCD of 700, 473, 287, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.