GCD of 610, 118, 882, 988 Calculator

Given Input numbers are 610, 118, 882, 988

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

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 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 610, 118, 882, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 118, 882, 988 is 2.

Therefore, GCD of numbers 610, 118, 882, 988 is 2

Given Input Data is 610, 118, 882, 988

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 118 is 2 x 59

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 988 is 2 x 2 x 13 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(610, 118) = 35990

GCD(610, 118) = ( 610 x 118 ) / 35990

GCD(610, 118) = 71980 / 35990

GCD(610, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 882

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

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

GCD(2, 882) = 1764 / 882

GCD(2, 882) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 988

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

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

GCD(2, 988) = 1976 / 988

GCD(2, 988) = 2

GCD of 610, 118, 882, 988 is 2

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1. What is the GCD of 610, 118, 882, 988?

GCD of 610, 118, 882, 988 is 2

2. Where do I get the detailed procedure to find GCD of 610, 118, 882, 988?

You can find a detailed procedure to find GCD of 610, 118, 882, 988 on our page.

3. How to find GCD of 610, 118, 882, 988 on a calculator?

You can find the GCD of 610, 118, 882, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.