GCD of 762, 842, 710, 862 Calculator

Given Input numbers are 762, 842, 710, 862

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

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Greatest Common Divisior

We found the divisors of 762, 842, 710, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 842, 710, 862 is 2.

Therefore, GCD of numbers 762, 842, 710, 862 is 2

Given Input Data is 762, 842, 710, 862

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 842 is 2 x 421

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 862 is 2 x 431

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(762, 842) = 320802

GCD(762, 842) = ( 762 x 842 ) / 320802

GCD(762, 842) = 641604 / 320802

GCD(762, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 710

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

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

GCD(2, 710) = 1420 / 710

GCD(2, 710) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 862

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

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

GCD(2, 862) = 1724 / 862

GCD(2, 862) = 2

GCD of 762, 842, 710, 862 is 2

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1. What is the GCD of 762, 842, 710, 862?

GCD of 762, 842, 710, 862 is 2

2. Where do I get the detailed procedure to find GCD of 762, 842, 710, 862?

You can find a detailed procedure to find GCD of 762, 842, 710, 862 on our page.

3. How to find GCD of 762, 842, 710, 862 on a calculator?

You can find the GCD of 762, 842, 710, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.