GCD of 703, 654, 567, 698 Calculator

Given Input numbers are 703, 654, 567, 698

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

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 703, 654, 567, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 654, 567, 698 is 1.

Therefore, GCD of numbers 703, 654, 567, 698 is 1

Given Input Data is 703, 654, 567, 698

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 698 is 2 x 349

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(703, 654) = 459762

GCD(703, 654) = ( 703 x 654 ) / 459762

GCD(703, 654) = 459762 / 459762

GCD(703, 654) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 567

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

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

GCD(1, 567) = 567 / 567

GCD(1, 567) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 703, 654, 567, 698 is 1

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1. What is the GCD of 703, 654, 567, 698?

GCD of 703, 654, 567, 698 is 1

2. Where do I get the detailed procedure to find GCD of 703, 654, 567, 698?

You can find a detailed procedure to find GCD of 703, 654, 567, 698 on our page.

3. How to find GCD of 703, 654, 567, 698 on a calculator?

You can find the GCD of 703, 654, 567, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.