GCD of 976, 625, 17, 138 Calculator

Given Input numbers are 976, 625, 17, 138

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 976, 625, 17, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 625, 17, 138 is 1.

Therefore, GCD of numbers 976, 625, 17, 138 is 1

Given Input Data is 976, 625, 17, 138

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 17 is 17

Prime Factorization of 138 is 2 x 3 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(976, 625) = 610000

GCD(976, 625) = ( 976 x 625 ) / 610000

GCD(976, 625) = 610000 / 610000

GCD(976, 625) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 976, 625, 17, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 523, 53, 926
• GCD of 162, 141, 12, 589
• GCD of 459, 814, 60, 214
• GCD of 324, 177, 85, 161
• GCD of 350, 186, 83, 178

1. What is the GCD of 976, 625, 17, 138?

GCD of 976, 625, 17, 138 is 1

2. Where do I get the detailed procedure to find GCD of 976, 625, 17, 138?

You can find a detailed procedure to find GCD of 976, 625, 17, 138 on our page.

3. How to find GCD of 976, 625, 17, 138 on a calculator?

You can find the GCD of 976, 625, 17, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.