GCD of 976, 610, 98, 259 Calculator

Given Input numbers are 976, 610, 98, 259

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 610

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

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

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 976, 610, 98, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 610, 98, 259 is 1.

Therefore, GCD of numbers 976, 610, 98, 259 is 1

Given Input Data is 976, 610, 98, 259

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 610 is 2 x 5 x 61

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 259 is 7 x 37

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, 610) = 4880

GCD(976, 610) = ( 976 x 610 ) / 4880

GCD(976, 610) = 595360 / 4880

GCD(976, 610) = 122

Step2:

Here we consider the GCD from the above i.e. 122 as first number and the next as 98

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

LCM(122, 98) = 5978

GCD(122, 98) = ( 122 x 98 ) / 5978

GCD(122, 98) = 11956 / 5978

GCD(122, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 259

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

LCM(2, 259) = 518

GCD(2, 259) = ( 2 x 259 ) / 518

GCD(2, 259) = 518 / 518

GCD(2, 259) = 1

GCD of 976, 610, 98, 259 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 203, 43, 123
• GCD of 693, 212, 31, 649
• GCD of 584, 480, 75, 971
• GCD of 136, 501, 98, 339
• GCD of 477, 316, 60, 469

1. What is the GCD of 976, 610, 98, 259?

GCD of 976, 610, 98, 259 is 1

2. Where do I get the detailed procedure to find GCD of 976, 610, 98, 259?

You can find a detailed procedure to find GCD of 976, 610, 98, 259 on our page.

3. How to find GCD of 976, 610, 98, 259 on a calculator?

You can find the GCD of 976, 610, 98, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.