GCD of 209, 469, 35, 980 Calculator

Given Input numbers are 209, 469, 35, 980

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 209, 469, 35, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 469, 35, 980 is 1.

Therefore, GCD of numbers 209, 469, 35, 980 is 1

Given Input Data is 209, 469, 35, 980

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 469 is 7 x 67

Prime Factorization of 35 is 5 x 7

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

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(209, 469) = 98021

GCD(209, 469) = ( 209 x 469 ) / 98021

GCD(209, 469) = 98021 / 98021

GCD(209, 469) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 209, 469, 35, 980 is 1

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1. What is the GCD of 209, 469, 35, 980?

GCD of 209, 469, 35, 980 is 1

2. Where do I get the detailed procedure to find GCD of 209, 469, 35, 980?

You can find a detailed procedure to find GCD of 209, 469, 35, 980 on our page.

3. How to find GCD of 209, 469, 35, 980 on a calculator?

You can find the GCD of 209, 469, 35, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.