GCD of 980, 178, 964, 125 Calculator

Given Input numbers are 980, 178, 964, 125

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

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 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 980, 178, 964, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 178, 964, 125 is 1.

Therefore, GCD of numbers 980, 178, 964, 125 is 1

Given Input Data is 980, 178, 964, 125

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

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 125 is 5 x 5 x 5

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(980, 178) = 87220

GCD(980, 178) = ( 980 x 178 ) / 87220

GCD(980, 178) = 174440 / 87220

GCD(980, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 964

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

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

GCD(2, 964) = 1928 / 964

GCD(2, 964) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 125

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

LCM(2, 125) = 250

GCD(2, 125) = ( 2 x 125 ) / 250

GCD(2, 125) = 250 / 250

GCD(2, 125) = 1

GCD of 980, 178, 964, 125 is 1

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1. What is the GCD of 980, 178, 964, 125?

GCD of 980, 178, 964, 125 is 1

2. Where do I get the detailed procedure to find GCD of 980, 178, 964, 125?

You can find a detailed procedure to find GCD of 980, 178, 964, 125 on our page.

3. How to find GCD of 980, 178, 964, 125 on a calculator?

You can find the GCD of 980, 178, 964, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.