GCD of 357, 259, 41, 980 Calculator

Given Input numbers are 357, 259, 41, 980

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

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 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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 357, 259, 41, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 259, 41, 980 is 1.

Therefore, GCD of numbers 357, 259, 41, 980 is 1

Given Input Data is 357, 259, 41, 980

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 259 is 7 x 37

Prime Factorization of 41 is 41

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(357, 259) = 13209

GCD(357, 259) = ( 357 x 259 ) / 13209

GCD(357, 259) = 92463 / 13209

GCD(357, 259) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 41

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

LCM(7, 41) = 287

GCD(7, 41) = ( 7 x 41 ) / 287

GCD(7, 41) = 287 / 287

GCD(7, 41) = 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 357, 259, 41, 980 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 131, 378, 96, 799
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• GCD of 671, 762, 25, 134
• GCD of 823, 257, 17, 177

1. What is the GCD of 357, 259, 41, 980?

GCD of 357, 259, 41, 980 is 1

2. Where do I get the detailed procedure to find GCD of 357, 259, 41, 980?

You can find a detailed procedure to find GCD of 357, 259, 41, 980 on our page.

3. How to find GCD of 357, 259, 41, 980 on a calculator?

You can find the GCD of 357, 259, 41, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.