GCD of 996, 976, 75, 610 Calculator

Given Input numbers are 996, 976, 75, 610

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 610

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

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

Greatest Common Divisior

We found the divisors of 996, 976, 75, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 976, 75, 610 is 1.

Therefore, GCD of numbers 996, 976, 75, 610 is 1

Given Input Data is 996, 976, 75, 610

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 610 is 2 x 5 x 61

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(996, 976) = 243024

GCD(996, 976) = ( 996 x 976 ) / 243024

GCD(996, 976) = 972096 / 243024

GCD(996, 976) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 75

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

LCM(4, 75) = 300

GCD(4, 75) = ( 4 x 75 ) / 300

GCD(4, 75) = 300 / 300

GCD(4, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 610

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

LCM(1, 610) = 610

GCD(1, 610) = ( 1 x 610 ) / 610

GCD(1, 610) = 610 / 610

GCD(1, 610) = 1

GCD of 996, 976, 75, 610 is 1

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• GCD of 746, 599, 93, 157
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1. What is the GCD of 996, 976, 75, 610?

GCD of 996, 976, 75, 610 is 1

2. Where do I get the detailed procedure to find GCD of 996, 976, 75, 610?

You can find a detailed procedure to find GCD of 996, 976, 75, 610 on our page.

3. How to find GCD of 996, 976, 75, 610 on a calculator?

You can find the GCD of 996, 976, 75, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.