GCD of 902, 112, 734, 610 Calculator

Given Input numbers are 902, 112, 734, 610

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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

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 902, 112, 734, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 112, 734, 610 is 2.

Therefore, GCD of numbers 902, 112, 734, 610 is 2

Given Input Data is 902, 112, 734, 610

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 734 is 2 x 367

Prime Factorization of 610 is 2 x 5 x 61

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(902, 112) = 50512

GCD(902, 112) = ( 902 x 112 ) / 50512

GCD(902, 112) = 101024 / 50512

GCD(902, 112) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 734

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

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

GCD(2, 734) = 1468 / 734

GCD(2, 734) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 610

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

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

GCD(2, 610) = 1220 / 610

GCD(2, 610) = 2

GCD of 902, 112, 734, 610 is 2

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1. What is the GCD of 902, 112, 734, 610?

GCD of 902, 112, 734, 610 is 2

2. Where do I get the detailed procedure to find GCD of 902, 112, 734, 610?

You can find a detailed procedure to find GCD of 902, 112, 734, 610 on our page.

3. How to find GCD of 902, 112, 734, 610 on a calculator?

You can find the GCD of 902, 112, 734, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.