GCD of 698, 446, 435, 660 Calculator

Given Input numbers are 698, 446, 435, 660

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

Divisors of 698

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

1, 2, 349, 698

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 698, 446, 435, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 446, 435, 660 is 1.

Therefore, GCD of numbers 698, 446, 435, 660 is 1

Given Input Data is 698, 446, 435, 660

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 446 is 2 x 223

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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(698, 446) = 155654

GCD(698, 446) = ( 698 x 446 ) / 155654

GCD(698, 446) = 311308 / 155654

GCD(698, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 435

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

LCM(2, 435) = 870

GCD(2, 435) = ( 2 x 435 ) / 870

GCD(2, 435) = 870 / 870

GCD(2, 435) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 698, 446, 435, 660 is 1

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1. What is the GCD of 698, 446, 435, 660?

GCD of 698, 446, 435, 660 is 1

2. Where do I get the detailed procedure to find GCD of 698, 446, 435, 660?

You can find a detailed procedure to find GCD of 698, 446, 435, 660 on our page.

3. How to find GCD of 698, 446, 435, 660 on a calculator?

You can find the GCD of 698, 446, 435, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.