GCD of 842, 778, 762, 736 Calculator

Given Input numbers are 842, 778, 762, 736

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

Divisors of 842

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

1, 2, 421, 842

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

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 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 842, 778, 762, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 778, 762, 736 is 2.

Therefore, GCD of numbers 842, 778, 762, 736 is 2

Given Input Data is 842, 778, 762, 736

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 778 is 2 x 389

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(842, 778) = 327538

GCD(842, 778) = ( 842 x 778 ) / 327538

GCD(842, 778) = 655076 / 327538

GCD(842, 778) = 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 736

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

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

GCD of 842, 778, 762, 736 is 2

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1. What is the GCD of 842, 778, 762, 736?

GCD of 842, 778, 762, 736 is 2

2. Where do I get the detailed procedure to find GCD of 842, 778, 762, 736?

You can find a detailed procedure to find GCD of 842, 778, 762, 736 on our page.

3. How to find GCD of 842, 778, 762, 736 on a calculator?

You can find the GCD of 842, 778, 762, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.