GCD of 675, 980, 258, 560 Calculator

Given Input numbers are 675, 980, 258, 560

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 675, 980, 258, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 980, 258, 560 is 1.

Therefore, GCD of numbers 675, 980, 258, 560 is 1

Given Input Data is 675, 980, 258, 560

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 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(675, 980) = 132300

GCD(675, 980) = ( 675 x 980 ) / 132300

GCD(675, 980) = 661500 / 132300

GCD(675, 980) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 258

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

LCM(5, 258) = 1290

GCD(5, 258) = ( 5 x 258 ) / 1290

GCD(5, 258) = 1290 / 1290

GCD(5, 258) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 675, 980, 258, 560 is 1

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1. What is the GCD of 675, 980, 258, 560?

GCD of 675, 980, 258, 560 is 1

2. Where do I get the detailed procedure to find GCD of 675, 980, 258, 560?

You can find a detailed procedure to find GCD of 675, 980, 258, 560 on our page.

3. How to find GCD of 675, 980, 258, 560 on a calculator?

You can find the GCD of 675, 980, 258, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.