GCD of 740, 778, 842, 740 Calculator

Given Input numbers are 740, 778, 842, 740

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 778

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

1, 2, 389, 778

Divisors of 842

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

1, 2, 421, 842

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 740, 778, 842, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 778, 842, 740 is 2.

Therefore, GCD of numbers 740, 778, 842, 740 is 2

Given Input Data is 740, 778, 842, 740

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 778 is 2 x 389

Prime Factorization of 842 is 2 x 421

Prime Factorization of 740 is 2 x 2 x 5 x 37

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(740, 778) = 287860

GCD(740, 778) = ( 740 x 778 ) / 287860

GCD(740, 778) = 575720 / 287860

GCD(740, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 842

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

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

GCD(2, 842) = 1684 / 842

GCD(2, 842) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 740

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

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

GCD(2, 740) = 1480 / 740

GCD(2, 740) = 2

GCD of 740, 778, 842, 740 is 2

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1. What is the GCD of 740, 778, 842, 740?

GCD of 740, 778, 842, 740 is 2

2. Where do I get the detailed procedure to find GCD of 740, 778, 842, 740?

You can find a detailed procedure to find GCD of 740, 778, 842, 740 on our page.

3. How to find GCD of 740, 778, 842, 740 on a calculator?

You can find the GCD of 740, 778, 842, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.