GCD of 869, 357, 980, 517 Calculator

Given Input numbers are 869, 357, 980, 517

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

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

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 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 869, 357, 980, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 357, 980, 517 is 1.

Therefore, GCD of numbers 869, 357, 980, 517 is 1

Given Input Data is 869, 357, 980, 517

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

Prime Factorization of 869 is 11 x 79

Prime Factorization of 357 is 3 x 7 x 17

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

Prime Factorization of 517 is 11 x 47

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(869, 357) = 310233

GCD(869, 357) = ( 869 x 357 ) / 310233

GCD(869, 357) = 310233 / 310233

GCD(869, 357) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 1

GCD of 869, 357, 980, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 822, 469, 966
• GCD of 425, 167, 479, 797
• GCD of 232, 804, 267, 692
• GCD of 507, 795, 476, 152
• GCD of 417, 108, 938, 367

1. What is the GCD of 869, 357, 980, 517?

GCD of 869, 357, 980, 517 is 1

2. Where do I get the detailed procedure to find GCD of 869, 357, 980, 517?

You can find a detailed procedure to find GCD of 869, 357, 980, 517 on our page.

3. How to find GCD of 869, 357, 980, 517 on a calculator?

You can find the GCD of 869, 357, 980, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.