GCD of 310, 474, 762, 760 Calculator

Given Input numbers are 310, 474, 762, 760

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 310, 474, 762, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 474, 762, 760 is 2.

Therefore, GCD of numbers 310, 474, 762, 760 is 2

Given Input Data is 310, 474, 762, 760

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 760 is 2 x 2 x 2 x 5 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(310, 474) = 73470

GCD(310, 474) = ( 310 x 474 ) / 73470

GCD(310, 474) = 146940 / 73470

GCD(310, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 762

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

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

GCD(2, 762) = 1524 / 762

GCD(2, 762) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 760

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

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

GCD(2, 760) = 1520 / 760

GCD(2, 760) = 2

GCD of 310, 474, 762, 760 is 2

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1. What is the GCD of 310, 474, 762, 760?

GCD of 310, 474, 762, 760 is 2

2. Where do I get the detailed procedure to find GCD of 310, 474, 762, 760?

You can find a detailed procedure to find GCD of 310, 474, 762, 760 on our page.

3. How to find GCD of 310, 474, 762, 760 on a calculator?

You can find the GCD of 310, 474, 762, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.