GCD of 235, 980, 725 Calculator

Given Input numbers are 235, 980, 725

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

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

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 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 235, 980, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 980, 725 is 5.

Therefore, GCD of numbers 235, 980, 725 is 5

Given Input Data is 235, 980, 725

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

Prime Factorization of 235 is 5 x 47

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

Prime Factorization of 725 is 5 x 5 x 29

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(235, 980) = 46060

GCD(235, 980) = ( 235 x 980 ) / 46060

GCD(235, 980) = 230300 / 46060

GCD(235, 980) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 725

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

LCM(5, 725) = 725

GCD(5, 725) = ( 5 x 725 ) / 725

GCD(5, 725) = 3625 / 725

GCD(5, 725) = 5

GCD of 235, 980, 725 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 353, 372, 597
• GCD of 473, 259, 870
• GCD of 874, 302, 693
• GCD of 819, 872, 151
• GCD of 688, 469, 110

1. What is the GCD of 235, 980, 725?

GCD of 235, 980, 725 is 5

2. Where do I get the detailed procedure to find GCD of 235, 980, 725?

You can find a detailed procedure to find GCD of 235, 980, 725 on our page.

3. How to find GCD of 235, 980, 725 on a calculator?

You can find the GCD of 235, 980, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.