GCD of 75, 610, 989, 560 Calculator

Given Input numbers are 75, 610, 989, 560

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

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 75, 610, 989, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 610, 989, 560 is 1.

Therefore, GCD of numbers 75, 610, 989, 560 is 1

Given Input Data is 75, 610, 989, 560

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 989 is 23 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(75, 610) = 9150

GCD(75, 610) = ( 75 x 610 ) / 9150

GCD(75, 610) = 45750 / 9150

GCD(75, 610) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 989

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

LCM(5, 989) = 4945

GCD(5, 989) = ( 5 x 989 ) / 4945

GCD(5, 989) = 4945 / 4945

GCD(5, 989) = 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 75, 610, 989, 560 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 789, 672, 782
• GCD of 26, 864, 419, 829
• GCD of 76, 287, 438, 946
• GCD of 41, 251, 871, 810
• GCD of 62, 773, 620, 249

1. What is the GCD of 75, 610, 989, 560?

GCD of 75, 610, 989, 560 is 1

2. Where do I get the detailed procedure to find GCD of 75, 610, 989, 560?

You can find a detailed procedure to find GCD of 75, 610, 989, 560 on our page.

3. How to find GCD of 75, 610, 989, 560 on a calculator?

You can find the GCD of 75, 610, 989, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.