GCD of 880, 170, 245, 759 Calculator

Given Input numbers are 880, 170, 245, 759

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 880, 170, 245, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 170, 245, 759 is 1.

Therefore, GCD of numbers 880, 170, 245, 759 is 1

Given Input Data is 880, 170, 245, 759

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 759 is 3 x 11 x 23

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(880, 170) = 14960

GCD(880, 170) = ( 880 x 170 ) / 14960

GCD(880, 170) = 149600 / 14960

GCD(880, 170) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 245

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

LCM(10, 245) = 490

GCD(10, 245) = ( 10 x 245 ) / 490

GCD(10, 245) = 2450 / 490

GCD(10, 245) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 759

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

LCM(5, 759) = 3795

GCD(5, 759) = ( 5 x 759 ) / 3795

GCD(5, 759) = 3795 / 3795

GCD(5, 759) = 1

GCD of 880, 170, 245, 759 is 1

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1. What is the GCD of 880, 170, 245, 759?

GCD of 880, 170, 245, 759 is 1

2. Where do I get the detailed procedure to find GCD of 880, 170, 245, 759?

You can find a detailed procedure to find GCD of 880, 170, 245, 759 on our page.

3. How to find GCD of 880, 170, 245, 759 on a calculator?

You can find the GCD of 880, 170, 245, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.