GCD of 980, 261, 699, 772 Calculator

Given Input numbers are 980, 261, 699, 772

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

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 980, 261, 699, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 261, 699, 772 is 1.

Therefore, GCD of numbers 980, 261, 699, 772 is 1

Given Input Data is 980, 261, 699, 772

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

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 699 is 3 x 233

Prime Factorization of 772 is 2 x 2 x 193

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(980, 261) = 255780

GCD(980, 261) = ( 980 x 261 ) / 255780

GCD(980, 261) = 255780 / 255780

GCD(980, 261) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 980, 261, 699, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 217, 224, 891
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1. What is the GCD of 980, 261, 699, 772?

GCD of 980, 261, 699, 772 is 1

2. Where do I get the detailed procedure to find GCD of 980, 261, 699, 772?

You can find a detailed procedure to find GCD of 980, 261, 699, 772 on our page.

3. How to find GCD of 980, 261, 699, 772 on a calculator?

You can find the GCD of 980, 261, 699, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.